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252307233 = 32314771271
BaseRepresentation
bin11110000100111…
…10011100100001
3122120202112110100
433002132130201
51004042312413
641011453013
76152401413
oct1702363441
9576675410
10252307233
1111a46a182
12705b7169
134036c929
142571a9b3
151723ca73
hexf09e721

252307233 has 48 divisors (see below), whose sum is σ = 391053312. Its totient is φ = 156492000.

The previous prime is 252307207. The next prime is 252307249. The reversal of 252307233 is 332703252.

252307233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252307233 - 26 = 252307169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252307197 and 252307206.

It is not an unprimeable number, because it can be changed into a prime (252307333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930888 + ... + 931158.

It is an arithmetic number, because the mean of its divisors is an integer number (8146944).

Almost surely, 2252307233 is an apocalyptic number.

It is an amenable number.

252307233 is a deficient number, since it is larger than the sum of its proper divisors (138746079).

252307233 is a wasteful number, since it uses less digits than its factorization.

252307233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 252307233 is about 15884.1818486191. The cubic root of 252307233 is about 631.8925478607.

The spelling of 252307233 in words is "two hundred fifty-two million, three hundred seven thousand, two hundred thirty-three".

Divisors: 1 3 9 31 47 71 93 141 213 271 279 423 639 813 1457 2201 2439 3337 4371 6603 8401 10011 12737 13113 19241 19809 25203 30033 38211 57723 75609 103447 114633 173169 310341 394847 596471 904327 931023 1184541 1789413 2712981 3553623 5368239 8138943 28034137 84102411 252307233