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230812128 = 25321747143
BaseRepresentation
bin11011100000111…
…10100111100000
3121002022110201100
431300132213200
5433041442003
634523034400
75501604441
oct1560364740
9532273640
10230812128
11109318628
126536ba00
1338a84b31
14229232c8
15153e3ba3
hexdc1e9e0

230812128 has 72 divisors (see below), whose sum is σ = 694996848. Its totient is φ = 72410112.

The previous prime is 230812123. The next prime is 230812129. The reversal of 230812128 is 821218032.

230812128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230812121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18676 + ... + 28467.

It is an arithmetic number, because the mean of its divisors is an integer number (9652734).

Almost surely, 2230812128 is an apocalyptic number.

It is an amenable number.

230812128 is an abundant number, since it is smaller than the sum of its proper divisors (464184720).

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

230812128 is a wasteful number, since it uses less digits than its factorization.

230812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47176 (or 47165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 230812128 is about 15192.5023613623. The cubic root of 230812128 is about 613.4128577834.

The spelling of 230812128 in words is "two hundred thirty million, eight hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 47143 94286 141429 188572 282858 377144 424287 565716 754288 801431 848574 1131432 1508576 1602862 1697148 2262864 2404293 3205724 3394296 4525728 4808586 6411448 6788592 7212879 9617172 12822896 13577184 14425758 19234344 25645792 28851516 38468688 57703032 76937376 115406064 230812128