225574080 has 224 divisors, whose sum is σ = 768096000. Its totient is φ = 55922688.

The previous prime is 225574067. The next prime is 225574091. The reversal of 225574080 is 80475522.

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, 1513846 + ... + 1513994.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^225574080 is an apocalyptic number.

225574080 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 225574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048000).

225574080 is an abundant number, since it is smaller than the sum of its proper divisors (542521920).

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

225574080 is a wasteful number, since it uses less digits than its factorization.

225574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 225574080 is about 15019.1238093306. The cubic root of 225574080 is about 608.7370447569.

The spelling of 225574080 in words is "two hundred twenty-five million, five hundred seventy-four thousand, eighty".