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225045252 = 223217367721
BaseRepresentation
bin11010110100111…
…10101100000100
3120200110111001100
431122132230010
5430102422002
634155300100
75401565415
oct1532365404
9520414040
10225045252
11106039913
126344a630
1337815c93
1421c6180c
1514b5511c
hexd69eb04

225045252 has 36 divisors (see below), whose sum is σ = 602328636. Its totient is φ = 70602240.

The previous prime is 225045251. The next prime is 225045277. The reversal of 225045252 is 252540522.

225045252 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 2 ways, for example, as 89415936 + 135629316 = 9456^2 + 11646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (225045251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183249 + ... + 184472.

It is an arithmetic number, because the mean of its divisors is an integer number (16731351).

Almost surely, 2225045252 is an apocalyptic number.

It is an amenable number.

225045252 is an abundant number, since it is smaller than the sum of its proper divisors (377283384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225045252 is a wasteful number, since it uses less digits than its factorization.

225045252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367748 (or 367743 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 225045252 is about 15001.5083241653. The cubic root of 225045252 is about 608.2609719063.

Adding to 225045252 its reverse (252540522), we get a palindrome (477585774).

The spelling of 225045252 in words is "two hundred twenty-five million, forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 367721 735442 1103163 1470884 2206326 3309489 4412652 6251257 6618978 12502514 13237956 18753771 25005028 37507542 56261313 75015084 112522626 225045252