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225153441 = 3241336053
BaseRepresentation
bin11010110101110…
…01000110100001
3120200122222110100
431122321012201
5430114402231
634201453013
75402526012
oct1532710641
9520588410
10225153441
11106103127
12634a1169
13378532b6
1421c8d009
1514b771e6
hexd6b91a1

225153441 has 12 divisors (see below), whose sum is σ = 325354068. Its totient is φ = 150041184.

The previous prime is 225153437. The next prime is 225153449. The reversal of 225153441 is 144351522.

225153441 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 83448225 + 141705216 = 9135^2 + 11904^2 .

It is not a de Polignac number, because 225153441 - 22 = 225153437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225153449) 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, 34171 + ... + 40223.

It is an arithmetic number, because the mean of its divisors is an integer number (27112839).

Almost surely, 2225153441 is an apocalyptic number.

It is an amenable number.

225153441 is a deficient number, since it is larger than the sum of its proper divisors (100200627).

225153441 is a wasteful number, since it uses less digits than its factorization.

225153441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10189 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 225153441 is about 15005.1138282920. The cubic root of 225153441 is about 608.3584287556.

The spelling of 225153441 in words is "two hundred twenty-five million, one hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 9 4133 6053 12399 18159 37197 54477 25017049 75051147 225153441