Base | Representation |
---|---|
bin | 11110100010110… |
… | …11111100110000 |
3 | 122212010210100012 |
4 | 33101123330300 |
5 | 1011043313133 |
6 | 41231514052 |
7 | 6230624546 |
oct | 1721337460 |
9 | 585123305 |
10 | 256229168 |
11 | 1216a8848 |
12 | 71988928 |
13 | 41113ac0 |
14 | 2605bd96 |
15 | 17764b48 |
hex | f45bf30 |
256229168 has 80 divisors (see below), whose sum is σ = 570338496. Its totient is φ = 110469120.
The previous prime is 256229161. The next prime is 256229173. The reversal of 256229168 is 861922652.
256229168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
Its product of digits (103680) is a multiple of the sum of its prime divisors (576).
It is not an unprimeable number, because it can be changed into a prime (256229161) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823733 + ... + 824043.
Almost surely, 2256229168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 256229168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285169248).
256229168 is an abundant number, since it is smaller than the sum of its proper divisors (314109328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256229168 is a wasteful number, since it uses less digits than its factorization.
256229168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 582 (or 576 counting only the distinct ones).
The product of its digits is 103680, while the sum is 41.
The square root of 256229168 is about 16007.1598979956. The cubic root of 256229168 is about 635.1498338224.
The spelling of 256229168 in words is "two hundred fifty-six million, two hundred twenty-nine thousand, one hundred sixty-eight".
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