225493600 has 36 divisors (see below), whose sum is σ = 550488204. Its totient is φ = 90197120.

The previous prime is 225493579. The next prime is 225493603. The reversal of 225493600 is 6394522.

225493600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225493603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140134 + ... + 141733.

It is an arithmetic number, because the mean of its divisors is an integer number (15291339).

Almost surely, 2^225493600 is an apocalyptic number.

225493600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225493600 is an abundant number, since it is smaller than the sum of its proper divisors (324994604).

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

225493600 is a wasteful number, since it uses less digits than its factorization.

225493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281887 (or 281874 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 225493600 is about 15016.4443194786. Note that the first 3 decimals coincide. The cubic root of 225493600 is about 608.6646413660.

The spelling of 225493600 in words is "two hundred twenty-five million, four hundred ninety-three thousand, six hundred".