225120
225,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 225120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
225120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 225120:
25 × 3 × 5 × 7 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 67)See below for interesting mathematical facts about the number 225120 from the Numbermatics database.
Names of 225120
- Cardinal: 225120 can be written as Two hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2512 × 105
Factors of 225120
Divisors of 225120
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 67 70 80 84 96 105 112 120 134 140 160 168 201 210 224 240 268 280 335 336 402 420 469 480 536 560 670 672 804 840 938 1005 1072 1120 1340 1407 1608 1680 1876 2010 2144 2345 2680 2814 3216 3360 3752 4020 4690 5360 5628 6432 7035 7504 8040 9380 10720 11256 14070 15008 16080 18760 22512 28140 32160 37520 45024 56280 75040 112560 225120
- Sum of all divisors σ(n): 822528
- Sum of proper divisors (its aliquot sum) s(n): 597408
- 225120 is an abundant number, because the sum of its proper divisors (597408) is greater than itself. Its abundance is 372288
Bases of 225120
- Binary: 1101101111011000002
- Hexadecimal: 0x36F60
- Base-36: 4TPC
Squares and roots of 225120
- 225120 squared (2251202) is 50679014400
- 225120 cubed (2251203) is 11408859721728000
-
The
square root of 225120 is 474.4681232707 -
The
cube root of 225120 is 60.8328308375
Scales and comparisons
How big is 225120?- 225,120 seconds is equal to 2 days, 14 hours, 32 minutes.
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To count from 1 to 225,120 would take you about two days.
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 225120 cubic inches would be around 5.1 feet tall.
Recreational maths with 225120
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The information we have on file for 225120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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