225131660 has 72 divisors (see below), whose sum is σ = 524185200. Its totient is φ = 81139968.

The previous prime is 225131653. The next prime is 225131681. The reversal of 225131660 is 66131522.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144566 + ... + 146114.

It is an arithmetic number, because the mean of its divisors is an integer number (7280350).

Almost surely, 2^225131660 is an apocalyptic number.

225131660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225131660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262092600).

225131660 is an abundant number, since it is smaller than the sum of its proper divisors (299053540).

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

225131660 is a wasteful number, since it uses less digits than its factorization.

225131660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 225131660 is about 15004.3880248413. The cubic root of 225131660 is about 608.3388109012.

The spelling of 225131660 in words is "two hundred twenty-five million, one hundred thirty-one thousand, six hundred sixty".