225790980 has 96 divisors (see below), whose sum is σ = 656667648. Its totient is φ = 57907200.

The previous prime is 225790969. The next prime is 225790997. The reversal of 225790980 is 89097522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433120 + ... + 433640.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2^225790980 is an apocalyptic number.

225790980 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 225790980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328333824).

225790980 is an abundant number, since it is smaller than the sum of its proper divisors (430876668).

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

225790980 is a wasteful number, since it uses less digits than its factorization.

225790980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 225790980 is about 15026.3428684427. The cubic root of 225790980 is about 608.9320919424.

The spelling of 225790980 in words is "two hundred twenty-five million, seven hundred ninety thousand, nine hundred eighty".