225022080 has 128 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 59629568.

The previous prime is 225022079. The next prime is 225022093. The reversal of 225022080 is 80220522.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447109 + ... + 447611.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^225022080 is an apocalyptic number.

225022080 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 225022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

225022080 is an abundant number, since it is smaller than the sum of its proper divisors (496746240).

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

225022080 is a wasteful number, since it uses less digits than its factorization.

225022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225022080 is about 15000.7359819444. The cubic root of 225022080 is about 608.2400944651.

The spelling of 225022080 in words is "two hundred twenty-five million, twenty-two thousand, eighty".