Base | Representation |
---|---|
bin | 11011101100000… |
… | …11000111101000 |
3 | 121012001122210000 |
4 | 31312003013220 |
5 | 433430203420 |
6 | 35014223000 |
7 | 5520165615 |
oct | 1566030750 |
9 | 535048700 |
10 | 232272360 |
11 | 10a125731 |
12 | 65954a60 |
13 | 39176688 |
14 | 22bc350c |
15 | 155d1690 |
hex | dd831e8 |
232272360 has 160 divisors (see below), whose sum is σ = 826812360. Its totient is φ = 58281984.
The previous prime is 232272329. The next prime is 232272361. The reversal of 232272360 is 63272232.
232272360 is a `hidden beast` number, since 2 + 32 + 272 + 360 = 666.
232272360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 230250276 + 2022084 = 15174^2 + 1422^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (232272361) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52972 + ... + 57188.
Almost surely, 2232272360 is an apocalyptic number.
232272360 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 232272360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413406180).
232272360 is an abundant number, since it is smaller than the sum of its proper divisors (594540000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232272360 is a wasteful number, since it uses less digits than its factorization.
232272360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4257 (or 4244 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 232272360 is about 15240.4842442752. The cubic root of 232272360 is about 614.7037240381.
The spelling of 232272360 in words is "two hundred thirty-two million, two hundred seventy-two thousand, three hundred sixty".
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