820216232220

Names of 820216232220

• Cardinal: 820216232220 can be written as Eight hundred twenty billion, two hundred sixteen million, two hundred thirty-two thousand, two hundred twenty.

Scientific notation

• Scientific notation: 8.2021623222 × 10¹¹

Factors of 820216232220

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 634

Divisors of 820216232220

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 10 11 12 14 15 17 19 20 21 22 28 30 33 34 35 38 42 44 49 51 55 57 60 66 68 70 76 77 84 85 95 98 102 105 110 114 119 132 133 140 147 154 165 170 187 190 196 204 209 210 220 228 231 233 238 245 255 266 285 294 308 323 330 337 340 357 374 380 385 399 418 420 462 466 476 490 510 532 539 561 570 588 595 627 646 660 665 674 699 714 735 748 770 798 833 836 924 931 932 935 969 980 1011 1020 1045 1078 1122 1140 1155 1165 1190 1254 1292 1309 1330 1348 1398 1428 1463 1470 1540 1596 1615 1617 1631 1666 1685 1785 1862 1870 1938 1995 2022 2090 2156 2244 2261 2310 2330 2359 2380 2499 2508 2563 2618 2660 2695 2793 2796 2805 2926 2940 3135 3230 3234 3262 3332 3370 3495 3553 3570 3707 3724 3740 3876 3927 3961 3990 4044 4165 4180 4389 4427 4522 4620 4655 4660 4718 4845 4893 4998 5055 5126 5236 5390 5586 5610 5729 5852 6270 6403 6460 6468 6524 6545 6740 6783 6990 7077 7106 7140 7315 7414 7689 7854 7922 7980 8085 8155 8330 8778 8854 9044 9163 9310 9436 9690 9786 9996 10110 10241 10252 10659 10780 11121 11172 11220 11305 11417 11458 11795 11883 12495 12540 12806 12815 13090 13281 13566 13965 13980 14154 14212 14630 14828 15378 15708 15827 15844 16170 16310 16513 16660 17187 17556 17708 17765 17941 18326 18535 18620 19209 19380 19572 19635 19805 20220 20482 21318 21945 22135 22242 22610 22834 22916 23590 23766 24465 24871 24990 25612 25630 25949 26180 26562 27132 27489 27727 27930 28308 28645 29260 30723 30756 30989 31654 32015 32340 32620 33026 33915 34251 34374 35385 35530 35882 36652 37070 38418 38445 39270 39610 40103 40964 42636 43571 43890 44270 44484 44821 45220 45668 45815 47180 47481 47532 48697 48930 49539 49742 49980 51205 51260 51898 53124 53295 53823 54978 55454 55605 55860 57085 57290 59415 61446 61978 63019 63308 64030 66052 66405 67830 68502 68748 70433 70770 71060 71764 74140 74613 75259 76836 76890 77847 78521 78540 79135 79220 80206 82565 83181 85935 87142 87780 88540 89642 89705 91630 92967 94962 96045 97394 97860 99078 99484 102410 103796 106590 107646 108851 109956 110908 111210 114170 114580 118830 120309 122892 123956 124355 125587 126038 128060 129745 130713 132810 134463 135660 137004 137445 138635 140866 141540 146091 149226 150518 153615 153780 154945 155694 157042 158270 160412 165130 166362 171255 171870 174097 174284 179284 179410 181643 183260 185934 189057 189924 192090 194089 194788 198156 200515 204820 211299 213180 215292 216923 217702 217855 222420 224105 225777 228340 235563 237405 237660 240618 243485 247695 248710 251174 252076 259490 261426 265620 268926 269115 274890 277270 280721 281732 292182 298452 301036 304997 307230 309890 311388 313747 314084 315095 316540 326553 330260 332724 340879 342510 343740 348194 352165 358820 363286 371868 373065 376295 376761 378114 384180 388178 389235 392605 401030 415905 422598 433846 435404 435710 441133 448210 451554 464835 471126 474810 481236 486970 493031 495390 497420 502348 518980 522291 522852 526813 537852 538230 544255 544929 549647 549780 554540 561442 582267 584364 601545 609994 614460 619780 627494 627935 630190 650769 653106 653565 672315 681758 685020 696388 704330 726572 730455 746130 752590 753522 756228 761957 776356 778470 785210 802060 827849 831810 842163 845196 863731 867692 870485 871420 882266 896420 903108 908215 914991 929670 941241 942252 945285 949620 970445 973940 986062 990780 1022637 1044582 1053626 1056495 1076460 1084615 1088510 1089858 1099294 1122884 1128885 1164534 1177815 1197361 1203090 1219988 1254988 1255870 1260380 1301538 1306212 1307130 1323399 1334857 1344630 1363516 1403605 1408660 1460910 1479093 1491899 1492260 1505180 1507044 1523914 1524985 1556940 1568735 1570420 1580439 1632765 1648941 1655698 1663620 1684326 1704395 1727462 1740970 1764532 1816430 1829982 1859340 1882482 1883805 1890570 1940890 1972124 2045274 2089164 2107252 2112990 2134979 2169230 2177020 2179716 2198588 2205665 2257770 2285871 2329068 2355630 2386153 2394722 2406180 2465155 2483547 2511740 2591193 2603076 2611455 2614260 2634065 2646798 2669714 2689260 2724645 2748235 2807210 2911335 2921820 2958186 2983798 3047828 3049970 3087931 3137470 3160878 3253845 3265530 3297882 3311396 3368652 3408790 3451217 3454924 3481940 3592083 3632860 3659964 3687691 3764964 3767610 3781140 3809785 3847529 3881780 4004571 4090548 4139245 4210815 4225980 4269958 4318655 4338460 4411330 4475697 4515540 4571742 4574955 4706205 4711260 4772306 4789444 4930310 4967094 5113185 5182386 5222910 5268130 5293596 5333699 5339428 5449290 5496470 5614420 5794943 5822670 5916372 5967596 5986805 6046117 6099940 6175862 6274940 6321756 6404937 6507690 6531060 6595764 6616995 6674285 6817580 6902434 7158459 7184166 7375382 7395465 7459495 7535220 7619570 7695058 7902195 8009142 8244705 8278490 8381527 8421630 8539916 8637310 8822660 8951394 9143484 9149910 9263793 9343999 9412410 9544612 9860620 9934188 10226370 10353651 10364772 10443293 10445820 10536260 10667398 10674895 10898580 10992940 11063073 11429355 11542587 11589886 11645340 11930765 11973610 12092234 12351724 12417735 12809874 12955965 13015380 13233990 13348570 13804868 14316918 14368332 14683427 14750764 14790930 14918990 15239140 15390116 15439655 15804390 16001097 16018284 16410889 16489410 16556980 16763054 16843260 17256085 17274620 17384829 17902788 17960415 18138351 18299820 18438455 18527586 18687998 18824820 19237645 20022855 20452740 20707302 20886586 21334796 21349790 22126146 22378485 22858710 23085174 23179772 23861530 23947220 24184468 24835470 25144581 25362283 25619748 25911930 26467980 26668495 26697140 28031997 28633836 28974715 29366854 29581860 29837980 30230585 30879310 31329879 31608780 32002194 32024685 32821778 32978820 33526108 34512170 34769658 35792295 35920830 36276702 36876910 37055172 37375996 38475290 40045710 40564601 41414604 41773172 41907635 42322819 42699580 44050281 44252292 44756970 45717420 46170348 46318965 46719995 47723060 49232667 49670940 50289162 50724566 51768255 51823860 52216465 53336990 55315365 56063994 57712935 57949430 58670689 58733708 60461170 61758620 62659758 64004388 64049370 65407993 65643556 69024340 69539316 71584590 71841660 72553404 73103051 73417135 73753820 76086849 76950580 80005485 80091420 81129202 82054445 83815270 84645638 86924145 88100562 89513940 90691755 92637930 93439990 98465334 100578324 101449132 102783989 103536510 104432930 106673980 110630730 112127988 114876223 115425870 115898860 117341378 120922340 121693803 125319516 125722905 126811415 126968457 128098740 130815986 140159985 143169180 146206102 146834270 152173698 156649395 160010970 162258404 164108890 167630540 169291276 173848290 176012067 176201124 177535981 181383510 185275860 186879980 196223979 196930668 202823005 205567978 207073020 208865860 211614095 219309153 220251405 221261460 229752446 230851740 234682756 243387606 246163335 251445810 253622830 253936914 261631972 278985113 280319970 292412204 293353445 293668540 304347396 308351967 313298790 320021940 327039965 328217780 344628669 347696580 352024134 355071962 362767020 365515255 380434245 392447958 405646010 411135956 423228190 438618306 440502810 459504892 486775212 492326670 502891620 507245660 507873828 513919945 532607943 557970226 560639940 574381115 586706890 608469015 616703934 626597580 634842285 654079930 689257338 704048268 710143924 719487923 731030510 760868490 784895916 804133561 811292020 836955339 846456380 877236612 880060335 881005620 887679905 981119895 984653340 1027839890 1065215886 1096545765 1115940452 1148762230 1173413780 1216938030 1233407868 1242751867 1269684570 1308159860 1378514676 1394925565 1438975846 1462061020 1521736980 1541759835 1608267122 1673910678 1723143345 1760120670 1775359810 1952895791 1962239790 2055679780 2130431772 2158463769 2193091530 2297524460 2412400683 2433876060 2485503734 2539369140 2663039715 2789851130 2877951692 3083519670 3216534244 3347821356 3446286690 3520241340 3550719620 3597439615 3728255601 3905791582 3924479580 4020667805 4184776695 4316927538 4386183060 4824801366 4971007468 5326079430 5579702260 5858687373 6167039340 6213759335 6892573380 7194879230 7456511202 7811583164 8041335610 8369553390 8633855076 9649602732 9764478955 10652158860 10792318845 11717374746 12062003415 12427518670 13670270537 14389758460 14913022404 16082671220 16739106780 18641278005 19528957910 21584637690 23434749492 24124006830 24855037340 27340541074 29293436865 37282556010 39057915820 41010811611 43169275380 48248013660 54681082148 58586873730 68351352685 74565112020 82021623222 117173747460 136702705370 164043246444 205054058055 273405410740 410108116110 820216232220
• Sum of all divisors σ(n): 3271903165440
• Sum of proper divisors (its aliquot sum) s(n): 2451686933220
• 820216232220 is an abundant number, because the sum of its proper divisors (2451686933220) is greater than itself. Its abundance is 1631470701000

Bases of 820216232220

• Binary: 1011111011111000101100100111100100011100₂
• Hexadecimal: 0xBEF8B2791C
• Base-36: AGSVKF8C

Squares and roots of 820216232220

• 820216232220 squared (820216232220²) is 672754667597172966128400
• 820216232220 cubed (820216232220³) is 551804298664971731001477928737048000
• The square root of 820216232220 is 905657.9002139825
• The cube root of 820216232220 is 9360.7242794145

Scales and comparisons

• 820,216,232,220 seconds is equal to 26,080 years, 17 weeks, 4 days, 10 hours, 17 minutes.
• To count from 1 to 820,216,232,220 would take you about fifty-two thousand, one hundred sixty years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 820216232220 cubic inches would be around 780.1 feet tall.

Recreational maths with 820216232220

• 820216232220 backwards is 022232612028
• 820216232220 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 820216232220's digits is 30
• More coming soon!