221146200
221,146,200 is an even composite number composed of six prime numbers multiplied together.
221146200 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 221146200:
23 × 34 × 52 × 11 × 17 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 73)See below for interesting mathematical facts about the number 221146200 from the Numbermatics database.
Names of 221146200
- Cardinal: 221146200 can be written as Two hundred twenty-one million, one hundred forty-six thousand, two hundred.
Scientific notation
- Scientific notation: 2.211462 × 108
Factors of 221146200
Divisors of 221146200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 25 27 30 33 34 36 40 44 45 50 51 54 55 60 66 68 72 73 75 81 85 88 90 99 100 102 108 110 120 132 135 136 146 150 153 162 165 170 180 187 198 200 204 216 219 220 225 255 264 270 275 292 297 300 306 324 330 340 360 365 374 396 405 408 425 438 440 450 459 495 510 540 550 561 584 594 600 612 648 657 660 675 680 730 748 765 792 803 810 825 850 876 891 900 918 935 990 1020 1080 1095 1100 1122 1188 1224 1241 1275 1314 1320 1350 1377 1460 1485 1496 1530 1606 1620 1650 1683 1700 1752 1782 1800 1825 1836 1870 1971 1980 2025 2040 2190 2200 2244 2295 2376 2409 2475 2482 2550 2628 2700 2754 2805 2920 2970 3060 3212 3240 3285 3300 3366 3400 3564 3650 3672 3723 3740 3825 3942 3960 4015 4050 4380 4455 4488 4590 4675 4818 4950 4964 5049 5100 5256 5400 5475 5508 5610 5913 5940 6120 6205 6424 6570 6600 6732 6885 7128 7227 7300 7425 7446 7480 7650 7884 8030 8100 8415 8760 8910 9180 9350 9636 9855 9900 9928 10098 10200 10950 11016 11169 11220 11475 11826 11880 12045 12410 13140 13464 13651 13770 14025 14454 14600 14850 14892 15147 15300 15768 16060 16200 16425 16830 17820 18360 18615 18700 19272 19710 19800 20075 20196 21681 21900 22275 22338 22440 22950 23652 24090 24820 25245 26280 27302 27540 28050 28908 29565 29700 29784 30294 30600 31025 32120 32850 33507 33660 34425 35640 36135 37230 37400 39420 40150 40392 40953 42075 43362 43800 44550 44676 45900 47304 48180 49275 49640 50490 54604 55080 55845 56100 57816 59130 59400 60225 60588 62050 65043 65700 67014 67320 68255 68850 72270 74460 75735 78840 80300 81906 84150 86724 89100 89352 91800 93075 96360 98550 100521 100980 108405 109208 111690 112200 118260 120450 121176 122859 124100 126225 130086 131400 134028 136510 137700 144540 147825 148920 151470 160600 163812 167535 168300 173448 178200 180675 186150 197100 201042 201960 204765 216810 223380 236520 240900 245718 248200 252450 260172 268056 273020 275400 279225 289080 295650 302940 325215 327624 335070 336600 341275 361350 368577 372300 378675 394200 402084 409530 433620 446760 481800 491436 502605 504900 520344 542025 546040 558450 591300 605880 614295 650430 670140 682550 722700 737154 744600 757350 804168 819060 837675 867240 982872 1005210 1009800 1023825 1084050 1105731 1116900 1182600 1228590 1300860 1340280 1365100 1445400 1474308 1514700 1626075 1638120 1675350 1842885 2010420 2047650 2168100 2211462 2233800 2457180 2513025 2601720 2730200 2948616 3029400 3071475 3252150 3350700 3685770 4020840 4095300 4336200 4422924 4914360 5026050 5528655 6142950 6504300 6701400 7371540 8190600 8845848 9214425 10052100 11057310 12285900 13008600 14743080 18428850 20104200 22114620 24571800 27643275 36857700 44229240 55286550 73715400 110573100 221146200
- Sum of all divisors σ(n): 899339760
- Sum of proper divisors (its aliquot sum) s(n): 678193560
- 221146200 is an abundant number, because the sum of its proper divisors (678193560) is greater than itself. Its abundance is 457047360
Bases of 221146200
- Binary: 11010010111001101100010110002
- Hexadecimal: 0xD2E6C58
- Base-36: 3NNXI0
Squares and roots of 221146200
- 221146200 squared (2211462002) is 48905641774440000
- 221146200 cubed (2211462003) is 10815296836978663128000000
-
The
square root of 221146200 is 14870.9851724759 -
The
cube root of 221146200 is 604.7276510207
Scales and comparisons
How big is 221146200?- 221,146,200 seconds is equal to 7 years, 1 week, 4 days, 13 hours, 30 minutes.
-
To count from 1 to 221,146,200 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 221146200 cubic inches would be around 50.4 feet tall.
Recreational maths with 221146200
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