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252130241 = 1122083721
BaseRepresentation
bin11110000011100…
…11001111000001
3122120102112200002
433001303033001
51004021131431
641004005345
76151033406
oct1701631701
9576375602
10252130241
1111a359200
1270530855
134030a1bc
14256b22ad
15172053cb
hexf0733c1

252130241 has 6 divisors (see below), whose sum is σ = 277135026. Its totient is φ = 229209200.

The previous prime is 252130211. The next prime is 252130243. The reversal of 252130241 is 142031252.

252130241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 186049600 + 66080641 = 13640^2 + 8129^2 .

It is a de Polignac number, because none of the positive numbers 2k-252130241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252130243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1041740 + ... + 1041981.

It is an arithmetic number, because the mean of its divisors is an integer number (46189171).

Almost surely, 2252130241 is an apocalyptic number.

It is an amenable number.

252130241 is a deficient number, since it is larger than the sum of its proper divisors (25004785).

252130241 is a wasteful number, since it uses less digits than its factorization.

252130241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083743 (or 2083732 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 252130241 is about 15878.6095424001. The cubic root of 252130241 is about 631.7447570286.

Adding to 252130241 its reverse (142031252), we get a palindrome (394161493).

The spelling of 252130241 in words is "two hundred fifty-two million, one hundred thirty thousand, two hundred forty-one".

Divisors: 1 11 121 2083721 22920931 252130241