225545200 has 120 divisors (see below), whose sum is σ = 581212800. Its totient is φ = 83854080.

The previous prime is 225545197. The next prime is 225545213. The reversal of 225545200 is 2545522.

It is a happy number.

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

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, 448149 + ... + 448651.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^225545200 is an apocalyptic number.

225545200 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 225545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

225545200 is an abundant number, since it is smaller than the sum of its proper divisors (355667600).

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

225545200 is a wasteful number, since it uses less digits than its factorization.

225545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 225545200 is about 15018.1623376497. The cubic root of 225545200 is about 608.7110650046.

The spelling of 225545200 in words is "two hundred twenty-five million, five hundred forty-five thousand, two hundred".