213824250
213,824,250 is an even composite number composed of five prime numbers multiplied together.
213824250 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 213824250:
2 × 32 × 53 × 292 × 113
(2 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 113)See below for interesting mathematical facts about the number 213824250 from the Numbermatics database.
Names of 213824250
- Cardinal: 213824250 can be written as Two hundred thirteen million, eight hundred twenty-four thousand, two hundred fifty.
Scientific notation
- Scientific notation: 2.1382425 × 108
Factors of 213824250
Divisors of 213824250
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 113 125 145 150 174 225 226 250 261 290 339 375 435 450 522 565 678 725 750 841 870 1017 1125 1130 1305 1450 1682 1695 2034 2175 2250 2523 2610 2825 3277 3390 3625 4205 4350 5046 5085 5650 6525 6554 7250 7569 8410 8475 9831 10170 10875 12615 13050 14125 15138 16385 16950 19662 21025 21750 25230 25425 28250 29493 32625 32770 37845 42050 42375 49155 50850 58986 63075 65250 75690 81925 84750 95033 98310 105125 126150 127125 147465 163850 189225 190066 210250 245775 254250 285099 294930 315375 378450 409625 475165 491550 570198 630750 737325 819250 855297 946125 950330 1228875 1425495 1474650 1710594 1892250 2375825 2457750 2850990 3686625 4276485 4751650 7127475 7373250 8552970 11879125 14254950 21382425 23758250 35637375 42764850 71274750 106912125 213824250
- Sum of all divisors σ(n): 604104696
- Sum of proper divisors (its aliquot sum) s(n): 390280446
- 213824250 is an abundant number, because the sum of its proper divisors (390280446) is greater than itself. Its abundance is 176456196
Bases of 213824250
- Binary: 11001011111010110010111110102
- Hexadecimal: 0xCBEB2FA
- Base-36: 3JAZUI
Squares and roots of 213824250
- 213824250 squared (2138242502) is 45720809888062500
- 213824250 cubed (2138242503) is 9776217883707548015625000
-
The
square root of 213824250 is 14622.7305931553 -
The
cube root of 213824250 is 597.9786143141
Scales and comparisons
How big is 213824250?- 213,824,250 seconds is equal to 6 years, 41 weeks, 3 days, 19 hours, 37 minutes, 30 seconds.
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To count from 1 to 213,824,250 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 213824250 cubic inches would be around 49.8 feet tall.
Recreational maths with 213824250
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