225031680 has 120 divisors (see below), whose sum is σ = 779427792. Its totient is φ = 60002304.

The previous prime is 225031621. The next prime is 225031727. The reversal of 225031680 is 86130522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18157 + ... + 27923.

Almost surely, 2^225031680 is an apocalyptic number.

225031680 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 225031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389713896).

225031680 is an abundant number, since it is smaller than the sum of its proper divisors (554396112).

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

225031680 is an equidigital number, since it uses as much as digits as its factorization.

225031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225031680 is about 15001.0559628314. The cubic root of 225031680 is about 608.2487440191.

It can be divided in two parts, 2250 and 31680, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 225031680 in words is "two hundred twenty-five million, thirty-one thousand, six hundred eighty".