225272800 has 72 divisors (see below), whose sum is σ = 555808176. Its totient is φ = 89149440.

The previous prime is 225272791. The next prime is 225272851. The reversal of 225272800 is 8272522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76149 + ... + 79051.

It is an arithmetic number, because the mean of its divisors is an integer number (7719558).

Almost surely, 2^225272800 is an apocalyptic number.

225272800 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 225272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277904088).

225272800 is an abundant number, since it is smaller than the sum of its proper divisors (330535376).

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

225272800 is a wasteful number, since it uses less digits than its factorization.

225272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 225272800 is about 15009.0905787126. The cubic root of 225272800 is about 608.4659113474.

The spelling of 225272800 in words is "two hundred twenty-five million, two hundred seventy-two thousand, eight hundred".