Search a number
-
+
232071968 = 2526932
BaseRepresentation
bin11011101010100…
…10001100100000
3121011200110220002
431311102030200
5433402300333
635010035132
75515402442
oct1565221440
9534613802
10232071968
11109aa9117
1265878aa8
13391063bb
1422b70492
15155920e8
hexdd52320

232071968 has 18 divisors (see below), whose sum is σ = 457061409. Its totient is φ = 115992896.

The previous prime is 232071967. The next prime is 232071971. The reversal of 232071968 is 869170232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 230189584 + 1882384 = 15172^2 + 1372^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10772.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232071967) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 84830 + ... + 87522.

Almost surely, 2232071968 is an apocalyptic number.

It is an amenable number.

232071968 is a deficient number, since it is larger than the sum of its proper divisors (224989441).

232071968 is an frugal number, since it uses more digits than its factorization.

232071968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 232071968 is about 15233.9084938830. The cubic root of 232071968 is about 614.5268954930.

The spelling of 232071968 in words is "two hundred thirty-two million, seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 2693 5386 10772 21544 43088 86176 7252249 14504498 29008996 58017992 116035984 232071968