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230437824 = 2636011997
BaseRepresentation
bin11011011110000…
…11001111000000
3121001121110021020
431233003033000
5432443002244
634511025440
75465455251
oct1557031700
9531543236
10230437824
11109092391
126520b280
1338983656
1422866b28
151536cd19
hexdbc33c0

230437824 has 56 divisors (see below), whose sum is σ = 611020368. Its totient is φ = 76646400.

The previous prime is 230437819. The next prime is 230437841. The reversal of 230437824 is 428734032.

230437824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114394 + ... + 116390.

It is an arithmetic number, because the mean of its divisors is an integer number (10911078).

Almost surely, 2230437824 is an apocalyptic number.

230437824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230437824 is an abundant number, since it is smaller than the sum of its proper divisors (380582544).

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

230437824 is a wasteful number, since it uses less digits than its factorization.

230437824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 230437824 is about 15180.1786550752. The cubic root of 230437824 is about 613.0810914033.

The spelling of 230437824 in words is "two hundred thirty million, four hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 601 1202 1803 1997 2404 3606 3994 4808 5991 7212 7988 9616 11982 14424 15976 19232 23964 28848 31952 38464 47928 57696 63904 95856 115392 127808 191712 383424 1200197 2400394 3600591 4800788 7201182 9601576 14402364 19203152 28804728 38406304 57609456 76812608 115218912 230437824