225895200 has 144 divisors (see below), whose sum is σ = 747827136. Its totient is φ = 59212800.

The previous prime is 225895183. The next prime is 225895217. The reversal of 225895200 is 2598522.

225895200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225895183) and next prime (225895217).

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, 145629 + ... + 147171.

It is an arithmetic number, because the mean of its divisors is an integer number (5193244).

Almost surely, 2^225895200 is an apocalyptic number.

225895200 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 225895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373913568).

225895200 is an abundant number, since it is smaller than the sum of its proper divisors (521931936).

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

225895200 is a wasteful number, since it uses less digits than its factorization.

225895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 225895200 is about 15029.8103780454. The cubic root of 225895200 is about 609.0257672829.

The spelling of 225895200 in words is "two hundred twenty-five million, eight hundred ninety-five thousand, two hundred".