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230772624 = 24316728789
BaseRepresentation
bin11011100000101…
…00111110010000
3121002020110112020
431300110332100
5433034210444
634522131440
75501351325
oct1560247620
9532213466
10230772624
111092a0985
1265350b80
1338a6cb64
1422912b4c
15153d7119
hexdc14f90

230772624 has 40 divisors (see below), whose sum is σ = 599753280. Its totient is φ = 76460928.

The previous prime is 230772617. The next prime is 230772631. The reversal of 230772624 is 426277032.

It is an interprime number because it is at equal distance from previous prime (230772617) and next prime (230772631).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6379 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (14993832).

Almost surely, 2230772624 is an apocalyptic number.

230772624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230772624 is an abundant number, since it is smaller than the sum of its proper divisors (368980656).

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

230772624 is a wasteful number, since it uses less digits than its factorization.

230772624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28967 (or 28961 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 230772624 is about 15191.2021907419. The cubic root of 230772624 is about 613.3778601364.

The spelling of 230772624 in words is "two hundred thirty million, seven hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 28789 57578 86367 115156 172734 230312 345468 460624 690936 1381872 4807763 9615526 14423289 19231052 28846578 38462104 57693156 76924208 115386312 230772624