225945600 has 144 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 60211200.

The previous prime is 225945571. The next prime is 225945611. The reversal of 225945600 is 6549522.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152865 + ... + 154335.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2^225945600 is an apocalyptic number.

225945600 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 225945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

225945600 is an abundant number, since it is smaller than the sum of its proper divisors (521506560).

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

225945600 is a wasteful number, since it uses less digits than its factorization.

225945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 225945600 is about 15031.4869523943. The cubic root of 225945600 is about 609.0710576301.

The spelling of 225945600 in words is "two hundred twenty-five million, nine hundred forty-five thousand, six hundred".