225172680 has 64 divisors (see below), whose sum is σ = 677678400. Its totient is φ = 59854080.

The previous prime is 225172643. The next prime is 225172681. The reversal of 225172680 is 86271522.

It is not an unprimeable number, because it can be changed into a prime (225172681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36886 + ... + 42554.

It is an arithmetic number, because the mean of its divisors is an integer number (10588725).

Almost surely, 2^225172680 is an apocalyptic number.

225172680 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 225172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338839200).

225172680 is an abundant number, since it is smaller than the sum of its proper divisors (452505720).

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

225172680 is a wasteful number, since it uses less digits than its factorization.

225172680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 225172680 is about 15005.7548960391. The cubic root of 225172680 is about 608.3757560124.

The spelling of 225172680 in words is "two hundred twenty-five million, one hundred seventy-two thousand, six hundred eighty".