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252225531 = 32594331097
BaseRepresentation
bin11110000100010…
…10011111111011
3122120121101101100
433002022133323
51004032204111
641010022443
76151611255
oct1702123773
9576541340
10252225531
1111a413858
1270577a23
134034169c
14256d8cd5
1517223756
hexf08a7fb

252225531 has 24 divisors (see below), whose sum is σ = 371694960. Its totient is φ = 164768256.

The previous prime is 252225509. The next prime is 252225577. The reversal of 252225531 is 135522252.

It is not a de Polignac number, because 252225531 - 27 = 252225403 is a prime.

It is a super-2 number, since 2×2522255312 = 127235436976463922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252225495 and 252225504.

It is not an unprimeable number, because it can be changed into a prime (252225031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229375 + ... + 230471.

It is an arithmetic number, because the mean of its divisors is an integer number (15487290).

Almost surely, 2252225531 is an apocalyptic number.

252225531 is a deficient number, since it is larger than the sum of its proper divisors (119469429).

252225531 is a wasteful number, since it uses less digits than its factorization.

252225531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1592 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 252225531 is about 15881.6098365374. The cubic root of 252225531 is about 631.8243341226.

Adding to 252225531 its reverse (135522252), we get a palindrome (387747783).

The spelling of 252225531 in words is "two hundred fifty-two million, two hundred twenty-five thousand, five hundred thirty-one".

Divisors: 1 3 9 59 177 433 531 1097 1299 3291 3897 9873 25547 64723 76641 194169 229923 475001 582507 1425003 4275009 28025059 84075177 252225531