225298560 has 128 divisors (see below), whose sum is σ = 722453760. Its totient is φ = 59719680.

The previous prime is 225298519. The next prime is 225298573. The reversal of 225298560 is 65892522.

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

It is a super-2 number, since 2×225298560² = 101518882276147200, which contains 22 as substring.

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, 520104 + ... + 520536.

It is an arithmetic number, because the mean of its divisors is an integer number (5644170).

Almost surely, 2^225298560 is an apocalyptic number.

225298560 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 225298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361226880).

225298560 is an abundant number, since it is smaller than the sum of its proper divisors (497155200).

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

225298560 is a wasteful number, since it uses less digits than its factorization.

225298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 225298560 is about 15009.9487007784. The cubic root of 225298560 is about 608.4891032056.

The spelling of 225298560 in words is "two hundred twenty-five million, two hundred ninety-eight thousand, five hundred sixty".