225817200 has 480 divisors, whose sum is σ = 959462400. Its totient is φ = 49351680.

The previous prime is 225817177. The next prime is 225817213. The reversal of 225817200 is 2718522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192349 + ... + 2192451.

It is an arithmetic number, because the mean of its divisors is an integer number (1998880).

Almost surely, 2^225817200 is an apocalyptic number.

225817200 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 225817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479731200).

225817200 is an abundant number, since it is smaller than the sum of its proper divisors (733645200).

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

225817200 is a wasteful number, since it uses less digits than its factorization.

225817200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 225817200 is about 15027.2153108951. The cubic root of 225817200 is about 608.9556617967.

The spelling of 225817200 in words is "two hundred twenty-five million, eight hundred seventeen thousand, two hundred".