| Base | Representation |
|---|---|
| bin | 10011100111011… |
| … | …01111001000000 |
| 3 | 102110122010021000 |
| 4 | 21303231321000 |
| 5 | 314111133011 |
| 6 | 24154532000 |
| 7 | 4035446121 |
| oct | 1163557100 |
| 9 | 373563230 |
| 10 | 164552256 |
| 11 | 84981600 |
| 12 | 47137000 |
| 13 | 281257cb |
| 14 | 17bd6048 |
| 15 | e6a6356 |
| hex | 9cede40 |
164552256 has 168 divisors, whose sum is σ = 532404320. Its totient is φ = 49800960.
The previous prime is 164552251. The next prime is 164552261. The reversal of 164552256 is 652255461.
164552256 is a `hidden beast` number, since 1 + 645 + 5 + 2 + 2 + 5 + 6 = 666.
164552256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (164552251) and next prime (164552261).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 164552256.
It is not an unprimeable number, because it can be changed into a prime (164552251) 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, 208695 + ... + 209481.
Almost surely, 2164552256 is an apocalyptic number.
164552256 is a gapful number since it is divisible by the number (16) 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 164552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266202160).
164552256 is an abundant number, since it is smaller than the sum of its proper divisors (367852064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164552256 is a wasteful number, since it uses less digits than its factorization.
164552256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 830 (or 803 counting only the distinct ones).
The product of its digits is 72000, while the sum is 36.
The square root of 164552256 is about 12827.7923275987. The cubic root of 164552256 is about 547.9840867739.
The spelling of 164552256 in words is "one hundred sixty-four million, five hundred fifty-two thousand, two hundred fifty-six".
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