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232230528 = 2732201589
BaseRepresentation
bin11011101011110…
…00111010000000
3121011222112101200
431311320322000
5433422334103
635013301200
75516632635
oct1565707200
9534875350
10232230528
1110a0a7262
1265934800
133916061a
1422bb218c
15155c40a3
hexdd78e80

232230528 has 48 divisors (see below), whose sum is σ = 668270850. Its totient is φ = 77409792.

The previous prime is 232230527. The next prime is 232230539. The reversal of 232230528 is 825032232.

232230528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202549824 + 29680704 = 14232^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (232230527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99643 + ... + 101946.

Almost surely, 2232230528 is an apocalyptic number.

It is an amenable number.

232230528 is an abundant number, since it is smaller than the sum of its proper divisors (436040322).

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

232230528 is a wasteful number, since it uses less digits than its factorization.

232230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201609 (or 201594 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232230528 is about 15239.1117851402. Note that the first 3 decimals coincide. The cubic root of 232230528 is about 614.6668193313. Note that the first 3 decimals are identical.

The spelling of 232230528 in words is "two hundred thirty-two million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 201589 403178 604767 806356 1209534 1612712 1814301 2419068 3225424 3628602 4838136 6450848 7257204 9676272 12901696 14514408 19352544 25803392 29028816 38705088 58057632 77410176 116115264 232230528