| Base | Representation |
|---|---|
| bin | 110100010111110001101100… |
| … | …110010011100000001100000 |
| 3 | 1010012112120000012022121221000 |
| 4 | 310113301230302130001200 |
| 5 | 220142231103303424300 |
| 6 | 2133513113502032000 |
| 7 | 66341650614366036 |
| oct | 6427615462340140 |
| 9 | 1105476005277830 |
| 10 | 230332331311200 |
| 11 | 674334363012a8 |
| 12 | 219bbb47878600 |
| 13 | 9b6a3268aa9b1 |
| 14 | 40c420401a556 |
| 15 | 1b96714b59c00 |
| hex | d17c6cc9c060 |
230332331311200 has 288 divisors, whose sum is σ = 833269738885920. Its totient is φ = 61404666624000.
The previous prime is 230332331311163. The next prime is 230332331311207. The reversal of 230332331311200 is 2113133233032.
230332331311200 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 323 + 3 + 1 + 311 + 20 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×2303323313112002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230332331311207) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75332250 + ... + 78330150.
It is an arithmetic number, because the mean of its divisors is an integer number (2893297704465).
Almost surely, 2230332331311200 is an apocalyptic number.
230332331311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230332331311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416634869442960).
230332331311200 is an abundant number, since it is smaller than the sum of its proper divisors (602937407574720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230332331311200 is a wasteful number, since it uses less digits than its factorization.
230332331311200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3001487 (or 3001468 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 230332331311200 its reverse (2113133233032), we get a palindrome (232445464544232).
The spelling of 230332331311200 in words is "two hundred thirty trillion, three hundred thirty-two billion, three hundred thirty-one million, three hundred eleven thousand, two hundred".
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