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252212532 = 2231113146977
BaseRepresentation
bin11110000100001…
…11010100110100
3122120120201112220
433002013110310
51004031300112
641005442340
76151525335
oct1702072464
9576521486
10252212532
1111a405010
12705703b0
13403387b0
14256d428c
151721e98c
hexf087534

252212532 has 48 divisors (see below), whose sum is σ = 691384512. Its totient is φ = 70548480.

The previous prime is 252212509. The next prime is 252212539. The reversal of 252212532 is 235212252.

It is a super-2 number, since 2×2522125322 = 127222322595702048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252212539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71773 + ... + 75204.

It is an arithmetic number, because the mean of its divisors is an integer number (14403844).

Almost surely, 2252212532 is an apocalyptic number.

252212532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252212532 is an abundant number, since it is smaller than the sum of its proper divisors (439171980).

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

252212532 is a wasteful number, since it uses less digits than its factorization.

252212532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147008 (or 147006 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 252212532 is about 15881.2005843387. The cubic root of 252212532 is about 631.8134797818.

Adding to 252212532 its reverse (235212252), we get a palindrome (487424784).

The spelling of 252212532 in words is "two hundred fifty-two million, two hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 146977 293954 440931 587908 881862 1616747 1763724 1910701 3233494 3821402 4850241 5732103 6466988 7642804 9700482 11464206 19400964 21017711 22928412 42035422 63053133 84070844 126106266 252212532