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232042768 = 24237183107
BaseRepresentation
bin11011101010010…
…11000100010000
3121011121222211121
431311023010100
5433400332033
635005252024
75515221346
oct1565130420
9534558747
10232042768
11109a89191
1265864014
13390c6019
1422b63996
151558862d
hexdd4b110

232042768 has 80 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 107085440.

The previous prime is 232042747. The next prime is 232042793. The reversal of 232042768 is 867240232.

It is a super-2 number, since 2×2320427682 = 107687692362203648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 2168571 + ... + 2168677.

Almost surely, 2232042768 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 232042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

232042768 is an abundant number, since it is smaller than the sum of its proper divisors (253926128).

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

232042768 is a wasteful number, since it uses less digits than its factorization.

232042768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 232042768 is about 15232.9500754122. The cubic root of 232042768 is about 614.5011205316.

The spelling of 232042768 in words is "two hundred thirty-two million, forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 71 83 92 107 142 166 184 214 284 332 368 428 568 664 856 1136 1328 1633 1712 1909 2461 3266 3818 4922 5893 6532 7597 7636 8881 9844 11786 13064 15194 15272 17762 19688 23572 26128 30388 30544 35524 39376 47144 60776 71048 94288 121552 135539 142096 174731 204263 271078 349462 408526 542156 630551 698924 817052 1084312 1261102 1397848 1634104 2168624 2522204 2795696 3268208 5044408 10088816 14502673 29005346 58010692 116021384 232042768