225082200 has 96 divisors (see below), whose sum is σ = 797448960. Its totient is φ = 51446400.

The previous prime is 225082199. The next prime is 225082219. The reversal of 225082200 is 2280522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 22596 + ... + 30995.

It is an arithmetic number, because the mean of its divisors is an integer number (8306760).

Almost surely, 2^225082200 is an apocalyptic number.

225082200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225082200 is an abundant number, since it is smaller than the sum of its proper divisors (572366760).

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

225082200 is a wasteful number, since it uses less digits than its factorization.

225082200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53617 (or 53608 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225082200 is about 15002.7397497924. The cubic root of 225082200 is about 608.2942582437.

The spelling of 225082200 in words is "two hundred twenty-five million, eighty-two thousand, two hundred".