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252013236 = 223171498291
BaseRepresentation
bin11110000010101…
…10101010110100
3122120012121011120
433001112222310
51004003410421
641001303540
76150035316
oct1701265264
9576177146
10252013236
1111a289302
1270494bb0
1340298b77
14256817b6
15171d08c6
hexf056ab4

252013236 has 48 divisors (see below), whose sum is σ = 626875200. Its totient is φ = 78522880.

The previous prime is 252013217. The next prime is 252013241. The reversal of 252013236 is 632310252.

252013236 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 2×2520132362 = 127021342238383392, which contains 22 as substring.

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, 26251 + ... + 34541.

It is an arithmetic number, because the mean of its divisors is an integer number (13059900).

Almost surely, 2252013236 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 252013236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313437600).

252013236 is an abundant number, since it is smaller than the sum of its proper divisors (374861964).

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

252013236 is a wasteful number, since it uses less digits than its factorization.

252013236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8464 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 252013236 is about 15874.9247557272. The cubic root of 252013236 is about 631.6470182143.

Adding to 252013236 its reverse (632310252), we get a palindrome (884323488).

The spelling of 252013236 in words is "two hundred fifty-two million, thirteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 149 204 298 447 596 894 1788 2533 5066 7599 8291 10132 15198 16582 24873 30396 33164 49746 99492 140947 281894 422841 563788 845682 1235359 1691364 2470718 3706077 4941436 7412154 14824308 21001103 42002206 63003309 84004412 126006618 252013236