225208800 has 216 divisors, whose sum is σ = 820572480. Its totient is φ = 58060800.

The previous prime is 225208793. The next prime is 225208811. The reversal of 225208800 is 8802522.

225208800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222696 + ... + 223704.

Almost surely, 2^225208800 is an apocalyptic number.

225208800 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 225208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410286240).

225208800 is an abundant number, since it is smaller than the sum of its proper divisors (595363680).

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

225208800 is a wasteful number, since it uses less digits than its factorization.

225208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 225208800 is about 15006.9583860288. The cubic root of 225208800 is about 608.4082841702.

The spelling of 225208800 in words is "two hundred twenty-five million, two hundred eight thousand, eight hundred".