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232012872 = 2332713172083
BaseRepresentation
bin11011101010000…
…11110001001000
3121011120110211100
431311003301020
5433343402442
635004501400
75515035240
oct1565036110
9534513740
10232012872
11109a68783
126584a860
13390b5530
1422b56b20
151557e84c
hexdd43c48

232012872 has 192 divisors, whose sum is σ = 819262080. Its totient is φ = 57563136.

The previous prime is 232012861. The next prime is 232012901. The reversal of 232012872 is 278210232.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110343 + ... + 112425.

It is an arithmetic number, because the mean of its divisors is an integer number (4266990).

Almost surely, 2232012872 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 232012872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409631040).

232012872 is an abundant number, since it is smaller than the sum of its proper divisors (587249208).

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

232012872 is a wasteful number, since it uses less digits than its factorization.

232012872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 232012872 is about 15231.9687499679. The cubic root of 232012872 is about 614.4747289679.

The spelling of 232012872 in words is "two hundred thirty-two million, twelve thousand, eight hundred seventy-two".