225849600 has 216 divisors, whose sum is σ = 828801120. Its totient is φ = 60180480.

The previous prime is 225849587. The next prime is 225849623. The reversal of 225849600 is 6948522.

It is a happy number.

225849600 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 172147 + ... + 173453.

Almost surely, 2^225849600 is an apocalyptic number.

225849600 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 225849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414400560).

225849600 is an abundant number, since it is smaller than the sum of its proper divisors (602951520).

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

225849600 is a wasteful number, since it uses less digits than its factorization.

225849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 225849600 is about 15028.2933162751. The cubic root of 225849600 is about 608.9847844969.

The spelling of 225849600 in words is "two hundred twenty-five million, eight hundred forty-nine thousand, six hundred".