225884120 has 96 divisors (see below), whose sum is σ = 645025680. Its totient is φ = 70398720.

The previous prime is 225884107. The next prime is 225884137. The reversal of 225884120 is 21488522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16322 + ... + 26798.

Almost surely, 2^225884120 is an apocalyptic number.

225884120 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 225884120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322512840).

225884120 is an abundant number, since it is smaller than the sum of its proper divisors (419141560).

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

225884120 is a wasteful number, since it uses less digits than its factorization.

225884120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 225884120 is about 15029.4417727339. The cubic root of 225884120 is about 609.0158096922.

The spelling of 225884120 in words is "two hundred twenty-five million, eight hundred eighty-four thousand, one hundred twenty".