221198032224

Names of 221198032224

• Cardinal: 221198032224 can be written as Two hundred twenty-one billion, one hundred ninety-eight million, thirty-two thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 2.21198032224 × 10¹¹

Factors of 221198032224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2990

Divisors of 221198032224

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 72 76 78 81 96 104 108 114 117 144 152 156 162 169 171 208 216 228 234 243 247 288 304 312 324 338 342 351 416 432 456 468 486 494 507 513 608 624 648 676 684 702 729 741 864 912 936 972 988 1014 1026 1053 1248 1296 1352 1368 1404 1458 1482 1521 1539 1824 1872 1944 1976 2028 2052 2106 2223 2592 2704 2736 2808 2916 2953 2964 3042 3078 3159 3211 3744 3888 3952 4056 4104 4212 4446 4563 4617 5408 5472 5616 5832 5906 5928 6084 6156 6318 6422 6669 7776 7904 8112 8208 8424 8859 8892 9126 9234 9477 9633 11232 11664 11812 11856 12168 12312 12636 12844 13338 13689 13851 16224 16416 16848 17718 17784 18252 18468 18954 19266 20007 23328 23624 23712 24336 24624 25272 25688 26577 26676 27378 27702 28899 33696 35436 35568 36504 36936 37908 38389 38532 40014 41067 47248 48672 49248 50544 51376 53154 53352 54756 55404 56107 57798 60021 70872 71136 73008 73872 75816 76778 77064 79731 80028 82134 86697 94496 101088 102752 106308 106704 109512 110808 112214 115167 115596 120042 123201 141744 146016 147744 151632 153556 154128 159462 160056 164268 168321 173394 180063 212616 213408 219024 221616 224428 230334 231192 239193 240084 246402 260091 283488 303264 307112 308256 318924 320112 328536 336642 345501 346788 360126 425232 438048 443232 448856 460668 462384 478386 480168 492804 499057 504963 520182 614224 637848 640224 657072 673284 691002 693576 717579 720252 729391 780273 850464 897712 921336 924768 956772 960336 985608 998114 1009926 1036503 1040364 1228448 1275696 1314144 1346568 1382004 1387152 1435158 1440504 1458782 1497171 1514889 1560546 1795424 1842672 1913544 1920672 1971216 1996228 2019852 2073006 2080728 2152737 2188173 2340819 2551392 2693136 2764008 2774304 2870316 2881008 2917564 2994342 3029778 3109509 3121092 3685344 3827088 3942432 3992456 4039704 4146012 4161456 4305474 4376346 4491513 4544667 4681638 5386272 5528016 5740632 5762016 5835128 5988684 6059556 6219018 6242184 6564519 7654176 7984912 8079408 8292024 8322912 8610948 8752692 8983026 9089334 9328527 9363276 9482083 11056032 11481264 11670256 11977368 12119112 12438036 12484368 13129038 13474539 13634001 15969824 16158816 16584048 17221896 17505384 17966052 18178668 18657054 18726552 18964166 19693557 22962528 23340512 23954736 24238224 24876072 24968736 26258076 26949078 27268002 27985581 28446249 33168096 34443792 35010768 35932104 36357336 37314108 37453104 37928332 39387114 40423617 40902003 47909472 48476448 49752144 52516152 53898156 54536004 55971162 56892498 59080671 68887584 70021536 71864208 72714672 74628216 74906208 75856664 78774228 80847234 81804006 85338747 99504288 105032304 107796312 109072008 111942324 113784996 118161342 121270851 143728416 145429344 149256432 151713328 157548456 161694468 163608012 170677494 177242013 210064608 215592624 218144016 223884648 227569992 236322684 242541702 256016241 298512864 303426656 315096912 323388936 327216024 341354988 354484026 363812553 431185248 436288032 447769296 455139984 472645368 485083404 512032482 531726039 630193824 646777872 654432048 682709976 708968052 727625106 768048723 895538592 910279968 945290736 970166808 1024064964 1063452078 1293555744 1308864096 1365419952 1417936104 1455250212 1536097446 1890581472 1940333616 2048129928 2126904156 2304146169 2730839904 2835872208 2910500424 3072194892 3880667232 4096259856 4253808312 4608292338 5671744416 5821000848 6144389784 6912438507 8192519712 8507616624 9216584676 11642001696 12288779568 13824877014 17015233248 18433169352 24577559136 27649754028 36866338704 55299508056 73732677408 110599016112 221198032224
• Sum of all divisors σ(n): 744478718760
• Sum of proper divisors (its aliquot sum) s(n): 523280686536
• 221198032224 is an abundant number, because the sum of its proper divisors (523280686536) is greater than itself. Its abundance is 302082654312

Bases of 221198032224

• Binary: 11001110000000011011100001110101100000₂
• Hexadecimal: 0x33806E1D60
• Base-36: 2TM7LI00

Squares and roots of 221198032224

• 221198032224 squared (221198032224²) is 48928569459769742386176
• 221198032224 cubed (221198032224³) is 10822903284036369747957537500135424
• The square root of 221198032224 is 470316.9486888603
• The cube root of 221198032224 is 6047.7489266521

Scales and comparisons

• 221,198,032,224 seconds is equal to 7,033 years, 21 weeks, 3 days, 9 hours, 50 minutes, 24 seconds.
• To count from 1 to 221,198,032,224 would take you about fourteen thousand and sixty-six 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 221198032224 cubic inches would be around 504 feet tall.

Recreational maths with 221198032224

• 221198032224 backwards is 422230891122
• 221198032224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 221198032224's digits is 36
• More coming soon!