225224800 has 36 divisors (see below), whose sum is σ = 549831996. Its totient is φ = 90089600.

The previous prime is 225224773. The next prime is 225224801. The reversal of 225224800 is 8422522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225224801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139966 + ... + 141565.

It is an arithmetic number, because the mean of its divisors is an integer number (15273111).

Almost surely, 2^225224800 is an apocalyptic number.

225224800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225224800 is an abundant number, since it is smaller than the sum of its proper divisors (324607196).

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

225224800 is a wasteful number, since it uses less digits than its factorization.

225224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281551 (or 281538 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 225224800 is about 15007.4914625996. The cubic root of 225224800 is about 608.4226919880.

The spelling of 225224800 in words is "two hundred twenty-five million, two hundred twenty-four thousand, eight hundred".