221913120
221,913,120 is an even composite number composed of seven prime numbers multiplied together.
221913120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 221913120:
25 × 3 × 5 × 11 × 13 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 53 × 61)See below for interesting mathematical facts about the number 221913120 from the Numbermatics database.
Names of 221913120
- Cardinal: 221913120 can be written as Two hundred twenty-one million, nine hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2191312 × 108
Factors of 221913120
Divisors of 221913120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 53 55 60 61 65 66 78 80 88 96 104 106 110 120 122 130 132 143 156 159 160 165 176 183 195 208 212 220 240 244 260 264 265 286 305 312 318 330 352 366 390 416 424 429 440 480 488 520 528 530 572 583 610 624 636 660 671 689 715 732 780 793 795 848 858 880 915 976 1040 1056 1060 1144 1166 1220 1248 1272 1320 1342 1378 1430 1464 1560 1586 1590 1696 1716 1749 1760 1830 1952 2013 2067 2080 2120 2145 2288 2332 2379 2440 2544 2640 2684 2756 2860 2915 2928 3120 3172 3180 3233 3355 3432 3445 3498 3660 3965 4026 4134 4240 4290 4576 4664 4758 4880 5088 5280 5368 5512 5720 5830 5856 6240 6344 6360 6466 6710 6864 6890 6996 7320 7579 7930 8052 8268 8480 8580 8723 8745 9328 9516 9699 9760 10065 10335 10736 11024 11440 11660 11895 12688 12720 12932 13420 13728 13780 13992 14640 15158 15860 16104 16165 16536 17160 17446 17490 18656 19032 19398 20130 20670 21472 22048 22737 22880 23320 23790 25376 25440 25864 26169 26840 27560 27984 29280 30316 31720 32208 32330 33072 34320 34892 34980 35563 37895 38064 38796 40260 41340 42029 43615 45474 46640 47580 48495 51728 52338 53680 55120 55968 60632 63440 64416 64660 66144 68640 69784 69960 71126 75790 76128 77592 80520 82680 84058 87230 90948 93280 95160 96990 103456 104676 106689 107360 110240 113685 121264 126087 126880 129320 130845 139568 139920 142252 151580 155184 161040 165360 168116 174460 177815 181896 190320 193980 209352 210145 213378 227370 242528 252174 258640 261690 279136 279840 284504 303160 310368 322080 330720 336232 348920 355630 363792 380640 387960 418704 420290 426756 454740 462319 504348 517280 523380 533445 569008 606320 630435 672464 697840 711260 727584 775920 837408 840580 853512 909480 924638 1008696 1046760 1066890 1138016 1212640 1260870 1344928 1386957 1395680 1422520 1551840 1681160 1707024 1818960 1849276 2017392 2093520 2133780 2311595 2521740 2773914 2845040 3362320 3414048 3637920 3698552 4034784 4187040 4267560 4623190 5043480 5547828 5690080 6724640 6934785 7397104 8535120 9246380 10086960 11095656 13869570 14794208 17070240 18492760 20173920 22191312 27739140 36985520 44382624 55478280 73971040 110956560 221913120
- Sum of all divisors σ(n): 850445568
- Sum of proper divisors (its aliquot sum) s(n): 628532448
- 221913120 is an abundant number, because the sum of its proper divisors (628532448) is greater than itself. Its abundance is 406619328
Bases of 221913120
- Binary: 11010011101000100000001000002
- Hexadecimal: 0xD3A2020
- Base-36: 3O4D9C
Squares and roots of 221913120
- 221913120 squared (2219131202) is 49245432828134400
- 221913120 cubed (2219131203) is 10928207644641728483328000
-
The
square root of 221913120 is 14896.7486385453 -
The
cube root of 221913120 is 605.4258959585
Scales and comparisons
How big is 221913120?- 221,913,120 seconds is equal to 7 years, 2 weeks, 6 days, 10 hours, 32 minutes.
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To count from 1 to 221,913,120 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 221913120 cubic inches would be around 50.5 feet tall.
Recreational maths with 221913120
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