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232056 = 233211293
BaseRepresentation
bin111000101001111000
3102210022200
4320221320
524411211
64550200
71654356
oct705170
9383280
10232056
11149390
12b2360
1381816
14607d6
1548b56
hex38a78

232056 has 48 divisors (see below), whose sum is σ = 687960. Its totient is φ = 70080.

The previous prime is 232051. The next prime is 232073. The reversal of 232056 is 650232.

232056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232051) by changing a digit.

232056 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 11 ways as a sum of consecutive naturals, for example, 646 + ... + 938.

2232056 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 232056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343980).

232056 is an abundant number, since it is smaller than the sum of its proper divisors (455904).

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

232056 is a wasteful number, since it uses less digits than its factorization.

232056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232056 is about 481.7219114801. The cubic root of 232056 is about 61.4512800741.

Adding to 232056 its reverse (650232), we get a palindrome (882288).

The spelling of 232056 in words is "two hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 293 396 586 792 879 1172 1758 2344 2637 3223 3516 5274 6446 7032 9669 10548 12892 19338 21096 25784 29007 38676 58014 77352 116028 232056