2220801200400
2,220,801,200,400 is an even composite number composed of seven prime numbers multiplied together.
2220801200400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 2220801200400:
24 × 3 × 52 × 31 × 79 × 227 × 3329
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 79 × 227 × 3329)See below for interesting mathematical facts about the number 2220801200400 from the Numbermatics database.
Names of 2220801200400
- Cardinal: 2220801200400 can be written as Two trillion, two hundred twenty billion, eight hundred one million, two hundred thousand, four hundred.
Scientific notation
- Scientific notation: 2.2208012004 × 1012
Factors of 2220801200400
Divisors of 2220801200400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 79 80 93 100 120 124 150 155 158 186 200 227 237 240 248 300 310 316 372 395 400 454 465 474 496 600 620 632 681 744 775 790 908 930 948 1135 1185 1200 1240 1264 1362 1488 1550 1580 1816 1860 1896 1975 2270 2325 2370 2449 2480 2724 3100 3160 3329 3405 3632 3720 3792 3950 4540 4650 4740 4898 5448 5675 5925 6200 6320 6658 6810 7037 7347 7440 7900 9080 9300 9480 9796 9987 10896 11350 11850 12245 12400 13316 13620 14074 14694 15800 16645 17025 17933 18160 18600 18960 19592 19974 21111 22700 23700 24490 26632 27240 28148 29388 31600 33290 34050 35185 35866 36735 37200 39184 39948 42222 45400 47400 48980 49935 53264 53799 54480 56296 58776 61225 66580 68100 70370 71732 73470 79896 83225 84444 89665 90800 94800 97960 99870 103199 105555 107598 112592 117552 122450 133160 136200 140740 143464 146940 159792 166450 168888 175925 179330 183675 195920 199740 206398 211110 215196 244900 249675 262991 266320 268995 272400 281480 286928 293880 309597 332900 337776 351850 358660 367350 399480 412796 422220 430392 448325 489800 499350 515995 525982 527775 537990 555923 562960 587760 619194 665800 703700 717320 734700 755683 788973 798960 825592 844440 860784 896650 979600 998700 1031990 1051964 1055550 1075980 1111846 1238388 1314955 1331600 1344975 1407400 1434640 1469400 1511366 1547985 1577946 1651184 1667769 1688880 1793300 1997400 2063980 2103928 2111100 2151960 2223692 2267049 2476776 2579975 2629910 2689950 2779615 2814800 2938800 3022732 3095970 3155892 3335538 3586600 3778415 3944865 3994800 4127960 4207856 4222200 4303920 4447384 4534098 4953552 5159950 5259820 5379900 5559230 6045464 6191940 6311784 6574775 6671076 7173200 7556830 7739925 7889730 8152721 8255920 8338845 8444400 8894768 9068196 10319900 10519640 10759800 11118460 11335245 12090928 12383880 12623568 13149550 13342152 13898075 15113660 15479850 15779460 16305442 16677690 18136392 18892075 19724325 20639800 21039280 21519600 22236920 22670490 23426173 24458163 24767760 26299100 26684304 27796150 30227320 30959700 31558920 32610884 33355380 36272784 37784150 39448650 40763605 41279600 41694225 44473840 45340980 46852346 48916326 52598200 55592300 56676225 59698957 60454640 61919400 63117840 65221768 66710760 70278519 75568300 78897300 81527210 83388450 90681960 93704692 97832652 105196400 111184600 113352450 117130865 119397914 122290815 123838800 130443536 133421520 140557038 151136600 157794600 163054420 166776900 179096871 181363920 187409384 195665304 203818025 222369200 226704900 234261730 238795828 244581630 281114076 298494785 302273200 315589200 326108840 333553800 351392595 358193742 374818768 391330608 407636050 453409800 468523460 477591656 489163260 562228152 585654325 596989570 611454075 652217680 667107600 702785190 716387484 815272100 895484355 906819600 937046920 955183312 978326520 1124456304 1171308650 1193979140 1222908150 1405570380 1432774968 1492473925 1630544200 1756962975 1790968710 1850667667 1874093840 1956653040 2342617300 2387958280 2445816300 2811140760 2865549936 2984947850 3261088400 3513925950 3581937420 3701335334 4477421775 4685234600 4775916560 4891632600 5552003001 5622281520 5969895700 7027851900 7163874840 7402670668 8954843550 9253338335 9370469200 9783265200 11104006002 11939791400 14055703800 14327749680 14805341336 17909687100 18506676670 22208012004 23879582800 27760015005 28111407600 29610682672 35819374200 37013353340 44416024008 46266691675 55520030010 71638748400 74026706680 88832048016 92533383350 111040060020 138800075025 148053413360 185066766700 222080120040 277600150050 370133533400 444160240080 555200300100 740267066800 1110400600200 2220801200400
- Sum of all divisors σ(n): 7471407513600
- Sum of proper divisors (its aliquot sum) s(n): 5250606313200
- 2220801200400 is an abundant number, because the sum of its proper divisors (5250606313200) is greater than itself. Its abundance is 3029805112800
Bases of 2220801200400
- Binary: 1000000101000100100001000100010001000100002
- Hexadecimal: 0x20512111110
- Base-36: SC7ZP15C
Squares and roots of 2220801200400
- 2220801200400 squared (22208012004002) is 4931957971698080960160000
- 2220801200400 cubed (22208012004003) is 10952898183869447422699712576064000000
-
The
square root of 2220801200400 is 1490235.2835710205 -
The
cube root of 2220801200400 is 13046.7766546131
Scales and comparisons
How big is 2220801200400?- 2,220,801,200,400 seconds is equal to 70,614 years, 31 weeks, 4 days, 14 hours, 20 minutes.
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To count from 1 to 2,220,801,200,400 would take you about one hundred seventy-six thousand, five hundred thirty-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 2220801200400 cubic inches would be around 1087.2 feet tall.
Recreational maths with 2220801200400
- 2220801200400 backwards is 0040021080222
- The number of decimal digits it has is: 13
- The sum of 2220801200400's digits is 21
- More coming soon!
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