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230616624 = 2437686359
BaseRepresentation
bin11011011111011…
…10111000110000
3121001221112112110
431233232320300
5433014212444
634514525320
75500131450
oct1557567060
9531845473
10230616624
111091a4757
1265296840
1338a16b54
14228b1d60
15153a5cb9
hexdbeee30

230616624 has 40 divisors (see below), whose sum is σ = 680869120. Its totient is φ = 65890368.

The previous prime is 230616593. The next prime is 230616629. The reversal of 230616624 is 426616032.

It is a junction number, because it is equal to n+sod(n) for n = 230616591 and 230616600.

It is not an unprimeable number, because it can be changed into a prime (230616629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342844 + ... + 343515.

It is an arithmetic number, because the mean of its divisors is an integer number (17021728).

Almost surely, 2230616624 is an apocalyptic number.

230616624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230616624 is an abundant number, since it is smaller than the sum of its proper divisors (450252496).

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

230616624 is a wasteful number, since it uses less digits than its factorization.

230616624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686377 (or 686371 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 230616624 is about 15186.0667718801. The cubic root of 230616624 is about 613.2396165357.

The spelling of 230616624 in words is "two hundred thirty million, six hundred sixteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 686359 1372718 2059077 2745436 4118154 4804513 5490872 8236308 9609026 10981744 14413539 16472616 19218052 28827078 32945232 38436104 57654156 76872208 115308312 230616624