225600000 has 240 divisors, whose sum is σ = 767200896. Its totient is φ = 58880000.

The previous prime is 225599971. The next prime is 225600017. The reversal of 225600000 is 6522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4799977 + ... + 4800023.

Almost surely, 2^225600000 is an apocalyptic number.

225600000 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 225600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383600448).

225600000 is an abundant number, since it is smaller than the sum of its proper divisors (541600896).

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

225600000 is an frugal number, since it uses more digits than its factorization.

225600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 225600000 is about 15019.9866844149. The cubic root of 225600000 is about 608.7603598764.

Adding to 225600000 its reverse (6522), we get a palindrome (225606522).

The spelling of 225600000 in words is "two hundred twenty-five million, six hundred thousand".