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232101568 = 26191631171
BaseRepresentation
bin11011101010110…
…01011011000000
3121011201222111101
431311121123000
5433404222233
635010424144
75515554646
oct1565313300
9534658441
10232101568
1110a019386
1265892054
1339116a0a
1422b7b196
151559ac7d
hexdd596c0

232101568 has 56 divisors (see below), whose sum is σ = 488208320. Its totient is φ = 109175040.

The previous prime is 232101559. The next prime is 232101679. The reversal of 232101568 is 865101232.

232101568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321015682 = 107742275736117248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197623 + ... + 198793.

Almost surely, 2232101568 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 232101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244104160).

232101568 is an abundant number, since it is smaller than the sum of its proper divisors (256106752).

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

232101568 is a wasteful number, since it uses less digits than its factorization.

232101568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 232101568 is about 15234.8799798357. The cubic root of 232101568 is about 614.5530213293.

The spelling of 232101568 in words is "two hundred thirty-two million, one hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 163 304 326 608 652 1171 1216 1304 2342 2608 3097 4684 5216 6194 9368 10432 12388 18736 22249 24776 37472 44498 49552 74944 88996 99104 177992 190873 198208 355984 381746 711968 763492 1423936 1526984 3053968 3626587 6107936 7253174 12215872 14506348 29012696 58025392 116050784 232101568