225167680 has 56 divisors (see below), whose sum is σ = 539313120. Its totient is φ = 89541120.

The previous prime is 225167671. The next prime is 225167693. The reversal of 225167680 is 86761522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55315 + ... + 59245.

Almost surely, 2^225167680 is an apocalyptic number.

225167680 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 225167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269656560).

225167680 is an abundant number, since it is smaller than the sum of its proper divisors (314145440).

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

225167680 is a wasteful number, since it uses less digits than its factorization.

225167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 225167680 is about 15005.5882923663. The cubic root of 225167680 is about 608.3712529479.

The spelling of 225167680 in words is "two hundred twenty-five million, one hundred sixty-seven thousand, six hundred eighty".