225948800 has 288 divisors, whose sum is σ = 713726640. Its totient is φ = 69888000.

The previous prime is 225948799. The next prime is 225948841. The reversal of 225948800 is 8849522.

225948800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1724735 + ... + 1724865.

Almost surely, 2^225948800 is an apocalyptic number.

225948800 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 225948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356863320).

225948800 is an abundant number, since it is smaller than the sum of its proper divisors (487777840).

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

225948800 is a wasteful number, since it uses less digits than its factorization.

225948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 225948800 is about 15031.5933952459. The cubic root of 225948800 is about 609.0739329804.

It can be divided in two parts, 22 and 5948800, that multiplied together give a square (130873600 = 11440²).

The spelling of 225948800 in words is "two hundred twenty-five million, nine hundred forty-eight thousand, eight hundred".