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232152 = 23317569
BaseRepresentation
bin111000101011011000
3102210110020
4320223120
524412102
64550440
71654554
oct705330
9383406
10232152
11149468
12b2420
138188b
1460864
1548bbc
hex38ad8

232152 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 72704.

The previous prime is 232129. The next prime is 232153. The reversal of 232152 is 251232.

232152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321522 = 107789102208, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232153) by changing a digit.

232152 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 7 ways as a sum of consecutive naturals, for example, 124 + ... + 692.

2232152 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 232152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800).

232152 is an abundant number, since it is smaller than the sum of its proper divisors (383448).

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

232152 is a wasteful number, since it uses less digits than its factorization.

232152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 232152 is about 481.8215437276. The cubic root of 232152 is about 61.4597528990.

Adding to 232152 its reverse (251232), we get a palindrome (483384).

The spelling of 232152 in words is "two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 569 1138 1707 2276 3414 4552 6828 9673 13656 19346 29019 38692 58038 77384 116076 232152