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232272 = 24321613
BaseRepresentation
bin111000101101010000
3102210121200
4320231100
524413042
64551200
71655115
oct705520
9383550
10232272
11149567
12b2500
1381951
146090c
1548c4c
hex38b50

232272 has 30 divisors (see below), whose sum is σ = 650442. Its totient is φ = 77376.

The previous prime is 232259. The next prime is 232303. The reversal of 232272 is 272232.

232272 is digitally balanced in base 3, 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 only one way, i.e., 207936 + 24336 = 456^2 + 156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

232272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 663 + ... + 950.

2232272 is an apocalyptic number.

It is an amenable number.

232272 is an abundant number, since it is smaller than the sum of its proper divisors (418170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232272 is a wasteful number, since it uses less digits than its factorization.

232272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1618 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 232272 is about 481.9460550726. The cubic root of 232272 is about 61.4703406461.

The spelling of 232272 in words is "two hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1613 3226 4839 6452 9678 12904 14517 19356 25808 29034 38712 58068 77424 116136 232272