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232136928 = 253731107
BaseRepresentation
bin11011101011000…
…10000011100000
3121011210210000000
431311202003200
5433411340203
635011300000
75516063022
oct1565420340
9534723000
10232136928
1110a042a01
12658aa600
1339129b3a
1422b8a012
15155a64a3
hexdd620e0

232136928 has 192 divisors, whose sum is σ = 714147840. Its totient is φ = 74183040.

The previous prime is 232136911. The next prime is 232136941. The reversal of 232136928 is 829631232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232136892 and 232136901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169451 + ... + 2169557.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520).

Almost surely, 2232136928 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 232136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073920).

232136928 is an abundant number, since it is smaller than the sum of its proper divisors (482010912).

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

232136928 is an equidigital number, since it uses as much as digits as its factorization.

232136928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 232136928 is about 15236.0404305056. The cubic root of 232136928 is about 614.5842282008.

The spelling of 232136928 in words is "two hundred thirty-two million, one hundred thirty-six thousand, nine hundred twenty-eight".