230436800
230,436,800 is an even composite number composed of four prime numbers multiplied together.
230436800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 230436800:
26 × 52 × 11 × 13093
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13093)See below for interesting mathematical facts about the number 230436800 from the Numbermatics database.
Names of 230436800
- Cardinal: 230436800 can be written as Two hundred thirty million, four hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.304368 × 108
Factors of 230436800
Divisors of 230436800
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 13093 17600 26186 52372 65465 104744 130930 144023 209488 261860 288046 327325 418976 523720 576092 654650 720115 837952 1047440 1152184 1309300 1440230 2094880 2304368 2618600 2880460 3600575 4189760 4608736 5237200 5760920 7201150 9217472 10474400 11521840 14402300 20948800 23043680 28804600 46087360 57609200 115218400 230436800
- Sum of all divisors σ(n): 618612936
- Sum of proper divisors (its aliquot sum) s(n): 388176136
- 230436800 is an abundant number, because the sum of its proper divisors (388176136) is greater than itself. Its abundance is 157739336
Bases of 230436800
- Binary: 11011011110000101111110000002
- Hexadecimal: 0xDBC2FC0
- Base-36: 3T7268
Squares and roots of 230436800
- 230436800 squared (2304368002) is 53101118794240000
- 230436800 cubed (2304368003) is 12236451891364524032000000
-
The
square root of 230436800 is 15180.1449268445 -
The
cube root of 230436800 is 613.0801832827
Scales and comparisons
How big is 230436800?- 230,436,800 seconds is equal to 7 years, 17 weeks, 2 hours, 13 minutes, 20 seconds.
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To count from 1 to 230,436,800 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 230436800 cubic inches would be around 51.1 feet tall.
Recreational maths with 230436800
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