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230625024 = 283742899
BaseRepresentation
bin11011011111100…
…00111100000000
3121001221222001120
431233300330000
5433020000044
634515032240
75500165110
oct1557607400
9531858046
10230625024
111091aaaa3
126529b680
1338a1a916
14228b5040
15153a8519
hexdbf0f00

230625024 has 72 divisors (see below), whose sum is σ = 701500800. Its totient is φ = 65891328.

The previous prime is 230625019. The next prime is 230625029. The reversal of 230625024 is 420526032.

230625024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230625019) and next prime (230625029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230624985 and 230625003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230625029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16074 + ... + 26825.

Almost surely, 2230625024 is an apocalyptic number.

230625024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230625024 is an abundant number, since it is smaller than the sum of its proper divisors (470875776).

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

230625024 is an equidigital number, since it uses as much as digits as its factorization.

230625024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42925 (or 42911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230625024 is about 15186.3433386711. The cubic root of 230625024 is about 613.2470620098.

The spelling of 230625024 in words is "two hundred thirty million, six hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 42899 85798 128697 171596 257394 300293 343192 514788 600586 686384 900879 1029576 1201172 1372768 1801758 2059152 2402344 2745536 3603516 4118304 4804688 5491072 7207032 8236608 9609376 10982144 14414064 16473216 19218752 28828128 32946432 38437504 57656256 76875008 115312512 230625024