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252226137 = 32931412281
BaseRepresentation
bin11110000100010…
…10101001011001
3122120121102012210
433002022221121
51004032214022
641010025333
76151613112
oct1702125131
9576542183
10252226137
1111a414259
1270578249
1340341a47
14256d9209
1517223a0c
hexf08aa59

252226137 has 32 divisors (see below), whose sum is σ = 368040960. Its totient is φ = 153216000.

The previous prime is 252226097. The next prime is 252226141. The reversal of 252226137 is 731622252.

It is not a de Polignac number, because 252226137 - 227 = 118008409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252226187) 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 31 ways as a sum of consecutive naturals, for example, 109437 + ... + 111717.

It is an arithmetic number, because the mean of its divisors is an integer number (11501280).

Almost surely, 2252226137 is an apocalyptic number.

It is an amenable number.

252226137 is a deficient number, since it is larger than the sum of its proper divisors (115814823).

252226137 is a wasteful number, since it uses less digits than its factorization.

252226137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385.

The product of its digits is 10080, while the sum is 30.

The square root of 252226137 is about 15881.6289151963. The cubic root of 252226137 is about 631.8248401317.

Adding to 252226137 its reverse (731622252), we get a palindrome (983848389).

The spelling of 252226137 in words is "two hundred fifty-two million, two hundred twenty-six thousand, one hundred thirty-seven".

Divisors: 1 3 29 31 41 87 93 123 899 1189 1271 2281 2697 3567 3813 6843 36859 66149 70711 93521 110577 198447 212133 280563 2050619 2712109 2899151 6151857 8136327 8697453 84075379 252226137