225813600 has 216 divisors, whose sum is σ = 808385760. Its totient is φ = 59304960.

The previous prime is 225813593. The next prime is 225813607. The reversal of 225813600 is 6318522.

225813600 is a `hidden beast` number, since 2 + 2 + 58 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (225813593) and next prime (225813607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225813607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568602 + ... + 568998.

Almost surely, 2^225813600 is an apocalyptic number.

225813600 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 225813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404192880).

225813600 is an abundant number, since it is smaller than the sum of its proper divisors (582572160).

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

225813600 is a wasteful number, since it uses less digits than its factorization.

225813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225813600 is about 15027.0955277459. The cubic root of 225813600 is about 608.9524257691.

The spelling of 225813600 in words is "two hundred twenty-five million, eight hundred thirteen thousand, six hundred".