213831200
213,831,200 is an even composite number composed of four prime numbers multiplied together.
213831200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 213831200:
25 × 52 × 112 × 472
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 47 × 47)See below for interesting mathematical facts about the number 213831200 from the Numbermatics database.
Names of 213831200
- Cardinal: 213831200 can be written as Two hundred thirteen million, eight hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.138312 × 108
Factors of 213831200
Divisors of 213831200
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 47 50 55 80 88 94 100 110 121 160 176 188 200 220 235 242 275 352 376 400 440 470 484 517 550 605 752 800 880 940 968 1034 1100 1175 1210 1504 1760 1880 1936 2068 2200 2209 2350 2420 2585 3025 3760 3872 4136 4400 4418 4700 4840 5170 5687 6050 7520 8272 8800 8836 9400 9680 10340 11045 11374 12100 12925 16544 17672 18800 19360 20680 22090 22748 24200 24299 25850 28435 35344 37600 41360 44180 45496 48400 48598 51700 55225 56870 70688 82720 88360 90992 96800 97196 103400 110450 113740 121495 142175 176720 181984 194392 206800 220900 227480 242990 267289 284350 353440 388784 413600 441800 454960 485980 534578 568700 607475 777568 883600 909920 971960 1069156 1137400 1214950 1336445 1767200 1943920 2138312 2274800 2429900 2672890 3887840 4276624 4549600 4859800 5345780 6682225 8553248 9719600 10691560 13364450 19439200 21383120 26728900 42766240 53457800 106915600 213831200
- Sum of all divisors σ(n): 586253493
- Sum of proper divisors (its aliquot sum) s(n): 372422293
- 213831200 is an abundant number, because the sum of its proper divisors (372422293) is greater than itself. Its abundance is 158591093
Bases of 213831200
- Binary: 11001011111011001110001000002
- Hexadecimal: 0xCBECE20
- Base-36: 3JB57K
Squares and roots of 213831200
- 213831200 squared (2138312002) is 45723782093440000
- 213831200 cubed (2138312003) is 9777171193578787328000000
-
The
square root of 213831200 is 14622.9682349379 -
The
cube root of 213831200 is 597.9850930091
Scales and comparisons
How big is 213831200?- 213,831,200 seconds is equal to 6 years, 41 weeks, 3 days, 21 hours, 33 minutes, 20 seconds.
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To count from 1 to 213,831,200 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 213831200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213831200
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