225896000 has 224 divisors, whose sum is σ = 650467584. Its totient is φ = 76800000.

The previous prime is 225895987. The next prime is 225896023. The reversal of 225896000 is 698522.

225896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495925 + ... + 1496075.

Almost surely, 2^225896000 is an apocalyptic number.

225896000 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 225896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325233792).

225896000 is an abundant number, since it is smaller than the sum of its proper divisors (424571584).

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

225896000 is a wasteful number, since it uses less digits than its factorization.

225896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 225896000 is about 15029.8369917973. The cubic root of 225896000 is about 609.0264862299.

The spelling of 225896000 in words is "two hundred twenty-five million, eight hundred ninety-six thousand".