225616300 has 72 divisors (see below), whose sum is σ = 602593376. Its totient is φ = 71400960.

The previous prime is 225616297. The next prime is 225616301. The reversal of 225616300 is 3616522.

225616300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (225616301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3297 + ... + 21496.

Almost surely, 2^225616300 is an apocalyptic number.

225616300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225616300 is an abundant number, since it is smaller than the sum of its proper divisors (376977076).

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

225616300 is a wasteful number, since it uses less digits than its factorization.

225616300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24827 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 225616300 is about 15020.5292849486. The cubic root of 225616300 is about 608.7750208617.

The spelling of 225616300 in words is "two hundred twenty-five million, six hundred sixteen thousand, three hundred".