| Base | Representation |
|---|---|
| bin | 110100010110101011111011… |
| … | …111000100111111001100000 |
| 3 | 1010012021101122200111000222000 |
| 4 | 310112223323320213321200 |
| 5 | 220140014200200211024 |
| 6 | 2133414444421444000 |
| 7 | 66333356404365333 |
| oct | 6426537370477140 |
| 9 | 1105241580430860 |
| 10 | 230257422663264 |
| 11 | 674046963273a7 |
| 12 | 219a9520b70600 |
| 13 | 9b6324950ac49 |
| 14 | 40c073952261a |
| 15 | 1b947cd639cc9 |
| hex | d16afbe27e60 |
230257422663264 has 768 divisors, whose sum is σ = 698539305784320. Its totient is φ = 73741860864000.
The previous prime is 230257422663239. The next prime is 230257422663349. The reversal of 230257422663264 is 462366224752032.
230257422663264 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 57 + 4 + 2 + 266 + 326 + 4 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 230257422663264.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 468956054059 + ... + 468956054549.
It is an arithmetic number, because the mean of its divisors is an integer number (909556387740).
Almost surely, 2230257422663264 is an apocalyptic number.
230257422663264 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 230257422663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349269652892160).
230257422663264 is an abundant number, since it is smaller than the sum of its proper divisors (468281883121056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230257422663264 is a wasteful number, since it uses less digits than its factorization.
230257422663264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).
The product of its (nonzero) digits is 34836480, while the sum is 54.
The spelling of 230257422663264 in words is "two hundred thirty trillion, two hundred fifty-seven billion, four hundred twenty-two million, six hundred sixty-three thousand, two hundred sixty-four".
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