214085200
214,085,200 is an even composite number composed of five prime numbers multiplied together.
214085200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 214085200:
24 × 52 × 7 × 157 × 487
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 157 × 487)See below for interesting mathematical facts about the number 214085200 from the Numbermatics database.
Names of 214085200
- Cardinal: 214085200 can be written as Two hundred fourteen million, eighty-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.140852 × 108
Factors of 214085200
Divisors of 214085200
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 157 175 200 280 314 350 400 487 560 628 700 785 974 1099 1256 1400 1570 1948 2198 2435 2512 2800 3140 3409 3896 3925 4396 4870 5495 6280 6818 7792 7850 8792 9740 10990 12175 12560 13636 15700 17045 17584 19480 21980 24350 27272 27475 31400 34090 38960 43960 48700 54544 54950 62800 68180 76459 85225 87920 97400 109900 136360 152918 170450 194800 219800 272720 305836 340900 382295 439600 535213 611672 681800 764590 1070426 1223344 1363600 1529180 1911475 2140852 2676065 3058360 3822950 4281704 5352130 6116720 7645900 8563408 10704260 13380325 15291800 21408520 26760650 30583600 42817040 53521300 107042600 214085200
- Sum of all divisors σ(n): 592775552
- Sum of proper divisors (its aliquot sum) s(n): 378690352
- 214085200 is an abundant number, because the sum of its proper divisors (378690352) is greater than itself. Its abundance is 164605152
Bases of 214085200
- Binary: 11001100001010101110010100002
- Hexadecimal: 0xCC2AE50
- Base-36: 3JGL74
Squares and roots of 214085200
- 214085200 squared (2140852002) is 45832472859040000
- 214085200 cubed (2140852003) is 9812054118522150208000000
-
The
square root of 214085200 is 14631.6506245877 -
The
cube root of 214085200 is 598.2217720859
Scales and comparisons
How big is 214085200?- 214,085,200 seconds is equal to 6 years, 41 weeks, 6 days, 20 hours, 6 minutes, 40 seconds.
-
To count from 1 to 214,085,200 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 214085200 cubic inches would be around 49.9 feet tall.
Recreational maths with 214085200
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