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232075008 = 2832119157
BaseRepresentation
bin11011101010100…
…10111100000000
3121011200122001200
431311102330000
5433402400013
635010101200
75515414344
oct1565227400
9534618050
10232075008
1110a000430
126587a800
13391078b9
1422b71624
1515592e73
hexdd52f00

232075008 has 108 divisors (see below), whose sum is σ = 730039128. Its totient is φ = 70318080.

The previous prime is 232075003. The next prime is 232075009. The reversal of 232075008 is 800570232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232075001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20766 + ... + 29922.

Almost surely, 2232075008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365019564).

232075008 is an abundant number, since it is smaller than the sum of its proper divisors (497964120).

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

232075008 is a wasteful number, since it uses less digits than its factorization.

232075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 232075008 is about 15234.0082709706. The cubic root of 232075008 is about 614.5295787893.

The spelling of 232075008 in words is "two hundred thirty-two million, seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 9157 12672 18314 25344 27471 36628 54942 73256 82413 100727 109884 146512 164826 201454 219768 293024 302181 329652 402908 439536 586048 604362 659304 805816 879072 906543 1172096 1208724 1318608 1611632 1758144 1813086 2344192 2417448 2637216 3223264 3516288 3626172 4834896 5274432 6446528 7032576 7252344 9669792 10548864 12893056 14504688 19339584 21097728 25786112 29009376 38679168 58018752 77358336 116037504 232075008