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235189968 = 243131722171
BaseRepresentation
bin11100000010010…
…11011011010000
3121101112212222120
432001023123100
5440202034333
635200534240
75554040016
oct1601133320
9541485876
10235189968
11110838782
1266921380
1339958680
14233428b6
15159aadb3
hexe04b6d0

235189968 has 80 divisors (see below), whose sum is σ = 692830656. Its totient is φ = 68106240.

The previous prime is 235189939. The next prime is 235189979. The reversal of 235189968 is 869981532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 235189968.

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, 478 + ... + 21693.

Almost surely, 2235189968 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 235189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346415328).

235189968 is an abundant number, since it is smaller than the sum of its proper divisors (457640688).

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

235189968 is a wasteful number, since it uses less digits than its factorization.

235189968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22212 (or 22206 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 235189968 is about 15335.9045380440. The cubic root of 235189968 is about 617.2668172757.

The spelling of 235189968 in words is "two hundred thirty-five million, one hundred eighty-nine thousand, nine hundred sixty-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 22171 44342 66513 88684 133026 177368 266052 288223 354736 376907 532104 576446 753814 864669 1064208 1130721 1152892 1507628 1729338 2261442 2305784 3015256 3458676 4522884 4611568 4899791 6030512 6917352 9045768 9799582 13834704 14699373 18091536 19599164 29398746 39198328 58797492 78396656 117594984 235189968