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252135233 = 7211814357
BaseRepresentation
bin11110000011101…
…00011101000001
3122120102210111222
433001310131001
51004021311413
641004044425
76151054100
oct1701643501
9576383458
10252135233
1111a361a29
1270533715
134030c55c
14256b4037
1517206b08
hexf074741

252135233 has 12 divisors (see below), whose sum is σ = 293615892. Its totient is φ = 215883360.

The previous prime is 252135197. The next prime is 252135241. The reversal of 252135233 is 332531252.

It can be written as a sum of positive squares in 2 ways, for example, as 245642929 + 6492304 = 15673^2 + 2548^2 .

It is not a de Polignac number, because 252135233 - 28 = 252134977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252035233) 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 11 ways as a sum of consecutive naturals, for example, 55691 + ... + 60047.

It is an arithmetic number, because the mean of its divisors is an integer number (24467991).

Almost surely, 2252135233 is an apocalyptic number.

It is an amenable number.

252135233 is a deficient number, since it is larger than the sum of its proper divisors (41480659).

252135233 is a wasteful number, since it uses less digits than its factorization.

252135233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5545 counting only the distinct ones).

The product of its digits is 5400, while the sum is 26.

The square root of 252135233 is about 15878.7667342272. The cubic root of 252135233 is about 631.7489263672.

Adding to 252135233 its reverse (332531252), we get a palindrome (584666485).

The spelling of 252135233 in words is "two hundred fifty-two million, one hundred thirty-five thousand, two hundred thirty-three".

Divisors: 1 7 49 1181 4357 8267 30499 57869 213493 5145617 36019319 252135233