225567460 has 24 divisors (see below), whose sum is σ = 474901560. Its totient is φ = 89996544.

The previous prime is 225567451. The next prime is 225567469. The reversal of 225567460 is 64765522.

It is an interprime number because it is at equal distance from previous prime (225567451) and next prime (225567469).

It can be written as a sum of positive squares in 4 ways, for example, as 48358116 + 177209344 = 6954^2 + 13312^2 .

It is not an unprimeable number, because it can be changed into a prime (225567469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6265 + ... + 22144.

It is an arithmetic number, because the mean of its divisors is an integer number (19787565).

Almost surely, 2^225567460 is an apocalyptic number.

225567460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225567460 is an abundant number, since it is smaller than the sum of its proper divisors (249334100).

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

225567460 is a wasteful number, since it uses less digits than its factorization.

225567460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28815 (or 28813 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 225567460 is about 15018.9034220212. The cubic root of 225567460 is about 608.7310897602.

The spelling of 225567460 in words is "two hundred twenty-five million, five hundred sixty-seven thousand, four hundred sixty".