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252224031 = 31910342961
BaseRepresentation
bin11110000100010…
…10001000011111
3122120121022022210
433002022020133
51004032132111
641010011503
76151604013
oct1702121037
9576538283
10252224031
1111a412714
1270576b93
1340340ab7
14256d8543
15172230a6
hexf08a21f

252224031 has 16 divisors (see below), whose sum is σ = 357443840. Its totient is φ = 157749120.

The previous prime is 252224017. The next prime is 252224039. The reversal of 252224031 is 130422252.

It is not a de Polignac number, because 252224031 - 25 = 252223999 is a prime.

It is a super-2 number, since 2×2522240312 = 127233923627777922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252223989 and 252224007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252224039) 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, 15610 + ... + 27351.

It is an arithmetic number, because the mean of its divisors is an integer number (22340240).

Almost surely, 2252224031 is an apocalyptic number.

252224031 is a deficient number, since it is larger than the sum of its proper divisors (105219809).

252224031 is a wasteful number, since it uses less digits than its factorization.

252224031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43086.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252224031 is about 15881.5626120354. The cubic root of 252224031 is about 631.8230816213.

Adding to 252224031 its reverse (130422252), we get a palindrome (382646283).

The spelling of 252224031 in words is "two hundred fifty-two million, two hundred twenty-four thousand, thirty-one".

Divisors: 1 3 19 57 103 309 1957 5871 42961 128883 816259 2448777 4424983 13274949 84074677 252224031