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232113648 = 243131721881
BaseRepresentation
bin11011101010111…
…00010111110000
3121011202121001210
431311130113300
5433410114043
635011000120
75515635114
oct1565342760
9534677053
10232113648
1110a027468
1265899040
133911c370
1422b81744
151559e633
hexdd5c5f0

232113648 has 80 divisors (see below), whose sum is σ = 683768736. Its totient is φ = 67215360.

The previous prime is 232113619. The next prime is 232113653. The reversal of 232113648 is 846311232.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333 + ... + 21548.

Almost surely, 2232113648 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 232113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341884368).

232113648 is an abundant number, since it is smaller than the sum of its proper divisors (451655088).

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

232113648 is a wasteful number, since it uses less digits than its factorization.

232113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21922 (or 21916 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 232113648 is about 15235.2764333306. The cubic root of 232113648 is about 614.5636828568.

The spelling of 232113648 in words is "two hundred thirty-two million, one hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 21881 43762 65643 87524 131286 175048 262572 284453 350096 371977 525144 568906 743954 853359 1050288 1115931 1137812 1487908 1706718 2231862 2275624 2975816 3413436 4463724 4551248 4835701 5951632 6826872 8927448 9671402 13653744 14507103 17854896 19342804 29014206 38685608 58028412 77371216 116056824 232113648