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234152568 = 233213972579
BaseRepresentation
bin11011111010011…
…10001001111000
3121022121011221100
431331032021320
5434420340233
635122411400
75542156356
oct1575161170
9538534840
10234152568
1111019a321
1266500b60
1339684420
14231527d6
1515853813
hexdf4e278

234152568 has 96 divisors (see below), whose sum is σ = 690253200. Its totient is φ = 71276544.

The previous prime is 234152557. The next prime is 234152593. The reversal of 234152568 is 865251432.

234152568 is a `hidden beast` number, since 2 + 3 + 41 + 52 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89503 + ... + 92081.

Almost surely, 2234152568 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 234152568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345126600).

234152568 is an abundant number, since it is smaller than the sum of its proper divisors (456100632).

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

234152568 is a wasteful number, since it uses less digits than its factorization.

234152568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 234152568 is about 15302.0445692724. The cubic root of 234152568 is about 616.3579116981.

The spelling of 234152568 in words is "two hundred thirty-four million, one hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 97 104 117 156 194 234 291 312 388 468 582 776 873 936 1164 1261 1746 2328 2522 2579 3492 3783 5044 5158 6984 7566 7737 10088 10316 11349 15132 15474 20632 22698 23211 30264 30948 33527 45396 46422 61896 67054 90792 92844 100581 134108 185688 201162 250163 268216 301743 402324 500326 603486 750489 804648 1000652 1206972 1500978 2001304 2251467 2413944 3001956 3252119 4502934 6003912 6504238 9005868 9756357 13008476 18011736 19512714 26016952 29269071 39025428 58538142 78050856 117076284 234152568