225903600 has 240 divisors, whose sum is σ = 866437600. Its totient is φ = 55572480.

The previous prime is 225903589. The next prime is 225903619. The reversal of 225903600 is 6309522.

225903600 is a `hidden beast` number, since 2 + 2 + 59 + 0 + 3 + 600 = 666.

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

It is a super-3 number, since 3×225903600³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139596 + ... + 141204.

Almost surely, 2^225903600 is an apocalyptic number.

225903600 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 225903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433218800).

225903600 is an abundant number, since it is smaller than the sum of its proper divisors (640534000).

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

225903600 is a wasteful number, since it uses less digits than its factorization.

225903600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225903600 is about 15030.0898200909. The cubic root of 225903600 is about 609.0333161419.

The spelling of 225903600 in words is "two hundred twenty-five million, nine hundred three thousand, six hundred".