212932800
212,932,800 is an even composite number composed of five prime numbers multiplied together.
212932800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 212932800:
26 × 34 × 52 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 53)See below for interesting mathematical facts about the number 212932800 from the Numbermatics database.
Names of 212932800
- Cardinal: 212932800 can be written as Two hundred twelve million, nine hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.129328 × 108
Factors of 212932800
Divisors of 212932800
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 53 54 60 62 64 72 75 80 81 90 93 96 100 106 108 120 124 135 144 150 155 159 160 162 180 186 192 200 212 216 225 240 248 265 270 279 288 300 310 318 320 324 360 372 400 405 424 432 450 465 477 480 496 530 540 558 576 600 620 636 648 675 720 744 775 795 800 810 837 848 864 900 930 954 960 992 1060 1080 1116 1200 1240 1272 1296 1325 1350 1395 1431 1440 1488 1550 1590 1600 1620 1643 1674 1696 1728 1800 1860 1908 1984 2025 2120 2160 2232 2325 2385 2400 2480 2511 2544 2592 2650 2700 2790 2862 2880 2976 3100 3180 3240 3286 3348 3392 3600 3720 3816 3975 4050 4185 4240 4293 4320 4464 4650 4770 4800 4929 4960 5022 5088 5184 5300 5400 5580 5724 5952 6200 6360 6480 6572 6696 6975 7155 7200 7440 7632 7950 8100 8215 8370 8480 8586 8640 8928 9300 9540 9858 9920 10044 10176 10600 10800 11160 11448 11925 12400 12555 12720 12960 13144 13392 13950 14310 14400 14787 14880 15264 15900 16200 16430 16740 16960 17172 17856 18600 19080 19716 20088 20925 21200 21465 21600 22320 22896 23850 24645 24800 25110 25440 25920 26288 26784 27900 28620 29574 29760 30528 31800 32400 32860 33480 34344 35775 37200 38160 39432 40176 41075 41850 42400 42930 43200 44361 44640 45792 47700 49290 49600 50220 50880 52576 53568 55800 57240 59148 62775 63600 64800 65720 66960 68688 71550 73935 74400 76320 78864 80352 82150 83700 84800 85860 88722 89280 91584 95400 98580 100440 105152 107325 111600 114480 118296 123225 125550 127200 129600 131440 133083 133920 137376 143100 147870 148800 152640 157728 160704 164300 167400 171720 177444 190800 197160 200880 214650 221805 223200 228960 236592 246450 251100 254400 262880 266166 267840 274752 286200 295740 315456 328600 334800 343440 354888 369675 381600 394320 401760 429300 443610 446400 457920 473184 492900 502200 525760 532332 572400 591480 657200 665415 669600 686880 709776 739350 763200 788640 803520 858600 887220 946368 985800 1004400 1064664 1109025 1144800 1182960 1314400 1330830 1339200 1373760 1419552 1478700 1577280 1717200 1774440 1971600 2008800 2129328 2218050 2289600 2365920 2628800 2661660 2839104 2957400 3327075 3434400 3548880 3943200 4017600 4258656 4436100 4731840 5323320 5914800 6654150 6868800 7097760 7886400 8517312 8872200 10646640 11829600 13308300 14195520 17744400 21293280 23659200 26616600 35488800 42586560 53233200 70977600 106466400 212932800
- Sum of all divisors σ(n): 823179456
- Sum of proper divisors (its aliquot sum) s(n): 610246656
- 212932800 is an abundant number, because the sum of its proper divisors (610246656) is greater than itself. Its abundance is 397313856
Bases of 212932800
- Binary: 11001011000100011000110000002
- Hexadecimal: 0xCB118C0
- Base-36: 3IRW00
Squares and roots of 212932800
- 212932800 squared (2129328002) is 45340377315840000
- 212932800 cubed (2129328003) is 9654453494918295552000000
-
The
square root of 212932800 is 14592.2171036481 -
The
cube root of 212932800 is 597.1464502711
Scales and comparisons
How big is 212932800?- 212,932,800 seconds is equal to 6 years, 40 weeks, 12 hours.
-
To count from 1 to 212,932,800 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 212932800 cubic inches would be around 49.8 feet tall.
Recreational maths with 212932800
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