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232112128 = 21431457
BaseRepresentation
bin11011101010111…
…00000000000000
3121011202111222111
431311130000000
5433410042003
635010545104
75515630513
oct1565340000
9534674874
10232112128
1110a026306
1265898194
133911b771
1422b80d7a
151559de6d
hexdd5c000

232112128 has 60 divisors (see below), whose sum is σ = 480233152. Its totient is φ = 112066560.

The previous prime is 232112119. The next prime is 232112129. The reversal of 232112128 is 821211232.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232112099 and 232112108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507676 + ... + 508132.

Almost surely, 2232112128 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 232112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240116576).

232112128 is an abundant number, since it is smaller than the sum of its proper divisors (248121024).

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

232112128 is an frugal number, since it uses more digits than its factorization.

232112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 232112128 is about 15235.2265490212. The cubic root of 232112128 is about 614.5623413604.

The spelling of 232112128 in words is "two hundred thirty-two million, one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 457 496 512 914 992 1024 1828 1984 2048 3656 3968 4096 7312 7936 8192 14167 14624 15872 16384 28334 29248 31744 56668 58496 63488 113336 116992 126976 226672 233984 253952 453344 467968 507904 906688 935936 1813376 1871872 3626752 3743744 7253504 7487488 14507008 29014016 58028032 116056064 232112128