225388800 has 648 divisors, whose sum is σ = 1014837824. Its totient is φ = 46448640.

The previous prime is 225388789. The next prime is 225388831. The reversal of 225388800 is 8883522.

It is a super-2 number, since 2×225388800² = 101600222330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241579 + ... + 5241621.

Almost surely, 2^225388800 is an apocalyptic number.

225388800 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 225388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507418912).

225388800 is an abundant number, since it is smaller than the sum of its proper divisors (789449024).

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

225388800 is a wasteful number, since it uses less digits than its factorization.

225388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 225388800 is about 15012.9544061121. The cubic root of 225388800 is about 608.5703327929.

The spelling of 225388800 in words is "two hundred twenty-five million, three hundred eighty-eight thousand, eight hundred".