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232051072 = 2711164809
BaseRepresentation
bin11011101010011…
…01000110000000
3121011122102020011
431311031012000
5433401113242
635005354304
75515254511
oct1565150600
9534572204
10232051072
11109a94450
1265868994
13390c9a36
1422b66a08
151558ad17
hexdd4d180

232051072 has 32 divisors (see below), whose sum is σ = 504318600. Its totient is φ = 105477120.

The previous prime is 232051051. The next prime is 232051093. The reversal of 232051072 is 270150232.

It is an interprime number because it is at equal distance from previous prime (232051051) and next prime (232051093).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80997 + ... + 83812.

Almost surely, 2232051072 is an apocalyptic number.

232051072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

232051072 is the 8143-rd centered heptagonal number.

It is an amenable number.

232051072 is an abundant number, since it is smaller than the sum of its proper divisors (272267528).

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

232051072 is a wasteful number, since it uses less digits than its factorization.

232051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164834 (or 164822 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 232051072 is about 15233.2226400063. Note that the first 3 decimals coincide. The cubic root of 232051072 is about 614.5084507269.

Subtracting from 232051072 its product of nonzero digits (840), we obtain a palindrome (232050232).

The spelling of 232051072 in words is "two hundred thirty-two million, fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 164809 329618 659236 1318472 1812899 2636944 3625798 5273888 7251596 10547776 14503192 21095552 29006384 58012768 116025536 232051072