221968320
221,968,320 is an even composite number composed of seven prime numbers multiplied together.
221968320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 221968320:
26 × 3 × 5 × 7 × 17 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 29 × 67)See below for interesting mathematical facts about the number 221968320 from the Numbermatics database.
Names of 221968320
- Cardinal: 221968320 can be written as Two hundred twenty-one million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.2196832 × 108
Factors of 221968320
Divisors of 221968320
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 32 34 35 40 42 48 51 56 58 60 64 67 68 70 80 84 85 87 96 102 105 112 116 119 120 134 136 140 145 160 168 170 174 192 201 203 204 210 224 232 238 240 255 268 272 280 290 320 335 336 340 348 357 402 406 408 420 435 448 464 469 476 480 493 510 536 544 560 580 595 609 670 672 680 696 714 804 812 816 840 870 928 938 952 960 986 1005 1015 1020 1072 1088 1120 1139 1160 1190 1218 1340 1344 1360 1392 1407 1428 1479 1608 1624 1632 1680 1740 1785 1856 1876 1904 1943 1972 2010 2030 2040 2144 2240 2278 2320 2345 2380 2436 2465 2680 2720 2784 2814 2856 2958 3045 3216 3248 3264 3360 3417 3451 3480 3570 3752 3808 3886 3944 4020 4060 4080 4288 4556 4640 4690 4760 4872 4930 5360 5440 5568 5628 5695 5712 5829 5916 6090 6432 6496 6720 6834 6902 6960 7035 7140 7395 7504 7616 7772 7888 7973 8040 8120 8160 9112 9280 9380 9520 9715 9744 9860 10353 10720 11256 11390 11424 11658 11832 12180 12864 12992 13601 13668 13804 13920 14070 14280 14790 15008 15544 15776 15946 16080 16240 16320 17085 17255 18224 18760 19040 19430 19488 19720 20706 21440 22512 22780 22848 23316 23664 23919 24360 27202 27336 27608 27840 28140 28560 29145 29580 30016 31088 31552 31892 32160 32480 33031 34170 34510 36448 37520 38080 38860 38976 39440 39865 40803 41412 45024 45560 46632 47328 47838 48720 51765 54404 54672 55216 56280 57120 58290 59160 62176 63784 64320 64960 66062 68005 68340 69020 72896 75040 77720 78880 79730 81606 82824 90048 91120 93264 94656 95676 97440 99093 103530 108808 109344 110432 112560 114240 116580 118320 119595 124352 127568 132124 136010 136680 138040 150080 155440 157760 159460 163212 165155 165648 182240 186528 191352 194880 198186 204015 207060 217616 218688 220864 225120 231217 233160 236640 239190 255136 264248 272020 273360 276080 310880 318920 326424 330310 331296 364480 373056 382704 396372 408030 414120 435232 450240 462434 466320 473280 478380 495465 510272 528496 544040 546720 552160 621760 637840 652848 660620 662592 693651 765408 792744 816060 828240 870464 924868 932640 956760 990930 1056992 1088080 1093440 1104320 1156085 1275680 1305696 1321240 1387302 1530816 1585488 1632120 1656480 1849736 1865280 1913520 1981860 2113984 2176160 2312170 2551360 2611392 2642480 2774604 3170976 3264240 3312960 3468255 3699472 3827040 3963720 4352320 4624340 5284960 5549208 6341952 6528480 6936510 7398944 7654080 7927440 9248680 10569920 11098416 13056960 13873020 14797888 15854880 18497360 22196832 27746040 31709760 36994720 44393664 55492080 73989440 110984160 221968320
- Sum of all divisors σ(n): 895380480
- Sum of proper divisors (its aliquot sum) s(n): 673412160
- 221968320 is an abundant number, because the sum of its proper divisors (673412160) is greater than itself. Its abundance is 451443840
Bases of 221968320
- Binary: 11010011101011110111110000002
- Hexadecimal: 0xD3AF7C0
- Base-36: 3O5JUO
Squares and roots of 221968320
- 221968320 squared (2219683202) is 49269935083622400
- 221968320 cubed (2219683203) is 10936364717020723642368000
-
The
square root of 221968320 is 14898.6012766299 -
The
cube root of 221968320 is 605.4760908857
Scales and comparisons
How big is 221968320?- 221,968,320 seconds is equal to 7 years, 3 weeks, 1 hour, 52 minutes.
-
To count from 1 to 221,968,320 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 221968320 cubic inches would be around 50.5 feet tall.
Recreational maths with 221968320
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