202138200
202,138,200 is an even composite number composed of six prime numbers multiplied together.
202138200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 202138200:
23 × 33 × 52 × 11 × 41 × 83
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 41 × 83)See below for interesting mathematical facts about the number 202138200 from the Numbermatics database.
Names of 202138200
- Cardinal: 202138200 can be written as Two hundred two million, one hundred thirty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 2.021382 × 108
Factors of 202138200
Divisors of 202138200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 33 36 40 41 44 45 50 54 55 60 66 72 75 82 83 88 90 99 100 108 110 120 123 132 135 150 164 165 166 180 198 200 205 216 220 225 246 249 264 270 275 297 300 328 330 332 360 369 396 410 415 440 450 451 492 495 498 540 550 594 600 615 660 664 675 738 747 792 820 825 830 900 902 913 984 990 996 1025 1080 1100 1107 1188 1230 1245 1320 1350 1353 1476 1485 1494 1640 1650 1660 1800 1804 1826 1845 1980 1992 2050 2075 2200 2214 2241 2255 2376 2460 2475 2490 2700 2706 2739 2952 2970 2988 3075 3300 3320 3403 3608 3652 3690 3735 3960 4059 4100 4150 4428 4482 4510 4565 4920 4950 4980 5400 5412 5478 5535 5940 5976 6150 6225 6600 6765 6806 7304 7380 7425 7470 8118 8200 8217 8300 8856 8964 9020 9130 9225 9900 9960 10209 10824 10956 11070 11205 11275 11880 12177 12300 12450 13530 13612 13695 14760 14850 14940 16236 16434 16600 17015 17928 18040 18260 18450 18675 19800 20295 20418 21912 22140 22410 22550 22825 24354 24600 24651 24900 27060 27224 27390 27675 29700 29880 30627 32472 32868 33825 34030 36520 36900 37350 37433 40590 40836 41085 44280 44820 45100 45650 48708 49302 49800 51045 54120 54780 55350 56025 59400 60885 61254 65736 67650 68060 68475 73800 74700 74866 81180 81672 82170 85075 89640 90200 91300 91881 97416 98604 101475 102090 109560 110700 112050 112299 121770 122508 123255 135300 136120 136950 149400 149732 153135 162360 164340 170150 182600 183762 187165 197208 202950 204180 205425 221400 224100 224598 243540 245016 246510 255225 270600 273900 299464 304425 306270 328680 336897 340300 367524 374330 405900 408360 410850 448200 449196 459405 487080 493020 510450 547800 561495 608850 612540 616275 673794 680600 735048 748660 765675 811800 821700 898392 918810 935825 986040 1010691 1020900 1122990 1217700 1225080 1232550 1347588 1497320 1531350 1643400 1684485 1837620 1871650 2021382 2041800 2245980 2297025 2435400 2465100 2695176 2807475 3062700 3368970 3675240 3743300 4042764 4491960 4594050 4930200 5053455 5614950 6125400 6737940 7486600 8085528 8422425 9188100 10106910 11229900 13475880 16844850 18376200 20213820 22459800 25267275 33689700 40427640 50534550 67379400 101069100 202138200
- Sum of all divisors σ(n): 787449600
- Sum of proper divisors (its aliquot sum) s(n): 585311400
- 202138200 is an abundant number, because the sum of its proper divisors (585311400) is greater than itself. Its abundance is 383173200
Bases of 202138200
- Binary: 11000000110001100010010110002
- Hexadecimal: 0xC0C6258
- Base-36: 3CCIU0
Squares and roots of 202138200
- 202138200 squared (2021382002) is 40859851899240000
- 202138200 cubed (2021382003) is 8259336915178954968000000
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The
square root of 202138200 is 14217.5314312999 -
The
cube root of 202138200 is 586.8802095099
Scales and comparisons
How big is 202138200?- 202,138,200 seconds is equal to 6 years, 22 weeks, 1 day, 13 hours, 30 minutes.
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To count from 1 to 202,138,200 would take you about nine 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 202138200 cubic inches would be around 48.9 feet tall.
Recreational maths with 202138200
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