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232362112 = 273121889
BaseRepresentation
bin11011101100110…
…01000010000000
3121012020012220011
431312121002000
5433441041422
635020154304
75521021363
oct1566310200
9535205804
10232362112
1110a187104
1265998994
13391a8498
1422c080da
15155ed077
hexdd99080

232362112 has 48 divisors (see below), whose sum is σ = 478576350. Its totient is φ = 112373760.

The previous prime is 232362061. The next prime is 232362113. The reversal of 232362112 is 211263232.

232362112 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., 199826496 + 32535616 = 14136^2 + 5704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232362113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122064 + ... + 123952.

Almost surely, 2232362112 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 232362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239288175).

232362112 is an abundant number, since it is smaller than the sum of its proper divisors (246214238).

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

232362112 is an equidigital number, since it uses as much as digits as its factorization.

232362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1922 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 232362112 is about 15243.4284857443. The cubic root of 232362112 is about 614.7828894110.

The spelling of 232362112 in words is "two hundred thirty-two million, three hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1889 1922 1984 3778 3844 3968 7556 7688 15112 15376 30224 30752 58559 60448 61504 117118 120896 123008 234236 241792 468472 936944 1815329 1873888 3630658 3747776 7261316 7495552 14522632 29045264 58090528 116181056 232362112