Base | Representation |
---|---|
bin | 11011110001011… |
… | …00100001100000 |
3 | 121020100220121021 |
4 | 31320230201200 |
5 | 434114404430 |
6 | 35041135224 |
7 | 5526115603 |
oct | 1570544140 |
9 | 536326537 |
10 | 232966240 |
11 | 10a559a91 |
12 | 6602a514 |
13 | 3935a460 |
14 | 22d2433a |
15 | 156bc07a |
hex | de2c860 |
232966240 has 96 divisors (see below), whose sum is σ = 612009216. Its totient is φ = 83220480.
The previous prime is 232966199. The next prime is 232966291. The reversal of 232966240 is 42669232.
It is a happy number.
232966240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 232966196 and 232966205.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62674 + ... + 66286.
It is an arithmetic number, because the mean of its divisors is an integer number (6375096).
Almost surely, 2232966240 is an apocalyptic number.
232966240 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 232966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306004608).
232966240 is an abundant number, since it is smaller than the sum of its proper divisors (379042976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232966240 is a wasteful number, since it uses less digits than its factorization.
232966240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 34.
The square root of 232966240 is about 15263.2316368455. The cubic root of 232966240 is about 615.3152282664.
The spelling of 232966240 in words is "two hundred thirty-two million, nine hundred sixty-six thousand, two hundred forty".
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