| Base | Representation |
|---|---|
| bin | 11011011110000… |
| … | …11000000000000 |
| 3 | 121001121101221200 |
| 4 | 31233003000000 |
| 5 | 432442434424 |
| 6 | 34511021200 |
| 7 | 5465452410 |
| oct | 1557030000 |
| 9 | 531541850 |
| 10 | 230436864 |
| 11 | 109091699 |
| 12 | 6520a800 |
| 13 | 38983098 |
| 14 | 22866640 |
| 15 | 1536c8c9 |
| hex | dbc3000 |
230436864 has 312 divisors, whose sum is σ = 817789440. Its totient is φ = 61046784.
The previous prime is 230436863. The next prime is 230436881. The reversal of 230436864 is 468634032.
It is a happy number.
230436864 is a `hidden beast` number, since 230 + 4 + 368 + 64 = 666.
It is a super-2 number, since 2×2304368642 = 106202296580308992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230436863) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902889 + ... + 4902935.
It is an arithmetic number, because the mean of its divisors is an integer number (2621120).
Almost surely, 2230436864 is an apocalyptic number.
230436864 is a gapful number since it is divisible by the number (24) 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 230436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408894720).
230436864 is an abundant number, since it is smaller than the sum of its proper divisors (587352576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230436864 is a wasteful number, since it uses less digits than its factorization.
230436864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 230436864 is about 15180.1470348610. The cubic root of 230436864 is about 613.0802400403.
It can be divided in two parts, 2304 and 36864, that multiplied together give a 4-th power (84934656 = 964).
The spelling of 230436864 in words is "two hundred thirty million, four hundred thirty-six thousand, eight hundred sixty-four".
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