220972752
220,972,752 is an even composite number composed of six prime numbers multiplied together.
220972752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 220972752:
24 × 33 × 72 × 11 × 13 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 13 × 73)See below for interesting mathematical facts about the number 220972752 from the Numbermatics database.
Names of 220972752
- Cardinal: 220972752 can be written as Two hundred twenty million, nine hundred seventy-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 2.20972752 × 108
Factors of 220972752
Divisors of 220972752
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 49 52 54 56 63 66 72 73 77 78 84 88 91 98 99 104 108 112 117 126 132 143 144 146 147 154 156 168 176 182 189 196 198 208 216 219 231 234 252 264 273 286 292 294 297 308 312 336 351 364 378 392 396 429 432 438 441 462 468 504 511 528 539 546 572 584 588 594 616 624 637 657 693 702 728 756 784 792 803 819 858 876 882 924 936 949 1001 1008 1022 1078 1092 1144 1168 1176 1188 1232 1274 1287 1314 1323 1386 1404 1456 1512 1533 1584 1606 1617 1638 1716 1752 1764 1848 1872 1898 1911 1971 2002 2044 2079 2156 2184 2288 2352 2376 2409 2457 2548 2574 2628 2646 2772 2808 2847 3003 3024 3066 3212 3234 3276 3432 3504 3528 3577 3696 3796 3822 3861 3942 4004 4088 4158 4312 4368 4599 4752 4818 4851 4914 5096 5148 5256 5292 5544 5616 5621 5694 5733 6006 6132 6424 6468 6552 6643 6864 7007 7056 7154 7227 7592 7644 7722 7884 8008 8176 8316 8541 8624 9009 9198 9636 9702 9828 10192 10296 10439 10512 10584 10731 11088 11242 11388 11466 12012 12264 12848 12936 13104 13286 13797 14014 14308 14454 14553 15184 15288 15444 15768 16016 16632 16863 17082 17199 18018 18396 19272 19404 19656 19929 20592 20878 21021 21168 21462 21681 22484 22776 22932 24024 24528 25623 25872 26572 27027 27594 28028 28616 28908 29106 30576 30888 31317 31536 32193 33264 33726 34164 34398 36036 36792 38544 38808 39312 39347 39858 41756 42042 42924 43362 44968 45552 45864 46501 48048 50589 51246 53144 54054 55188 56056 57232 57816 58212 59787 61776 62634 63063 64386 67452 68328 68796 72072 73073 73584 77616 78694 79716 83512 84084 85848 86724 89936 91728 93002 93951 96579 101178 102492 106288 108108 110376 112112 115632 116424 118041 119574 125268 126126 128772 134904 136656 137592 139503 144144 146146 151767 157388 159432 167024 168168 171696 173448 179361 186004 187902 189189 193158 202356 204984 216216 219219 220752 232848 236082 239148 250536 252252 257544 269808 275184 279006 281853 292292 303534 314776 318864 336336 346896 354123 358722 372008 375804 378378 386316 404712 409968 418509 432432 438438 472164 478296 501072 504504 511511 515088 558012 563706 584584 607068 629552 657657 708246 717444 744016 751608 756756 772632 809424 837018 876876 944328 956592 1009008 1023022 1062369 1116024 1127412 1169168 1214136 1255527 1315314 1416492 1434888 1503216 1513512 1534533 1545264 1674036 1753752 1888656 1972971 2046044 2124738 2232048 2254824 2428272 2511054 2630628 2832984 2869776 3027024 3069066 3348072 3507504 3945942 4092088 4249476 4509648 4603599 5022108 5261256 5665968 6138132 6696144 7891884 8184176 8498952 9207198 10044216 10522512 12276264 13810797 15783768 16997904 18414396 20088432 24552528 27621594 31567536 36828792 55243188 73657584 110486376 220972752
- Sum of all divisors σ(n): 878693760
- Sum of proper divisors (its aliquot sum) s(n): 657721008
- 220972752 is an abundant number, because the sum of its proper divisors (657721008) is greater than itself. Its abundance is 436748256
Bases of 220972752
- Binary: 11010010101111000110110100002
- Hexadecimal: 0xD2BC6D0
- Base-36: 3NK7O0
Squares and roots of 220972752
- 220972752 squared (2209727522) is 48828957126453504
- 220972752 cubed (2209727523) is 10789869033522442778923008
-
The
square root of 220972752 is 14865.1522696541 -
The
cube root of 220972752 is 604.5695109373
Scales and comparisons
How big is 220972752?- 220,972,752 seconds is equal to 7 years, 1 week, 2 days, 13 hours, 19 minutes, 12 seconds.
-
To count from 1 to 220,972,752 would take you about ten 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 220972752 cubic inches would be around 50.4 feet tall.
Recreational maths with 220972752
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