225439200 has 540 divisors, whose sum is σ = 969828552. Its totient is φ = 50803200.

The previous prime is 225439163. The next prime is 225439217. The reversal of 225439200 is 2934522.

225439200 is a `hidden beast` number, since 2 + 25 + 439 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 89 ways as a sum of consecutive naturals, for example, 3175165 + ... + 3175235.

Almost surely, 2^225439200 is an apocalyptic number.

225439200 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 225439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484914276).

225439200 is an abundant number, since it is smaller than the sum of its proper divisors (744389352).

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

225439200 is a wasteful number, since it uses less digits than its factorization.

225439200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225439200 is about 15014.6328626444. The cubic root of 225439200 is about 608.6156909456.

The spelling of 225439200 in words is "two hundred twenty-five million, four hundred thirty-nine thousand, two hundred".