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232109568 = 2932172963
BaseRepresentation
bin11011101010110…
…11011000000000
3121011202101110200
431311123120000
5433410001233
635010525200
75515620165
oct1565333000
9534671420
10232109568
1110a024399
1265896800
133911a552
1422b8006c
151559d313
hexdd5b600

232109568 has 120 divisors (see below), whose sum is σ = 709528248. Its totient is φ = 72794112.

The previous prime is 232109561. The next prime is 232109611. The reversal of 232109568 is 865901232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232109561) 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, 76855 + ... + 79817.

Almost surely, 2232109568 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 232109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354764124).

232109568 is an abundant number, since it is smaller than the sum of its proper divisors (477418680).

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

232109568 is a wasteful number, since it uses less digits than its factorization.

232109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 232109568 is about 15235.1425329729. The cubic root of 232109568 is about 614.5600819849.

The spelling of 232109568 in words is "two hundred thirty-two million, one hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 2963 3264 4352 4608 4896 5926 6528 8704 8889 9792 11852 13056 17778 19584 23704 26112 26667 35556 39168 47408 50371 53334 71112 78336 94816 100742 106668 142224 151113 189632 201484 213336 284448 302226 379264 402968 426672 453339 568896 604452 758528 805936 853344 906678 1137792 1208904 1517056 1611872 1706688 1813356 2275584 2417808 3223744 3413376 3626712 4551168 4835616 6447488 6826752 7253424 9671232 12894976 13653504 14506848 19342464 25789952 29013696 38684928 58027392 77369856 116054784 232109568