225882000 has 320 divisors, whose sum is σ = 835660800. Its totient is φ = 58291200.

The previous prime is 225881993. The next prime is 225882017. The reversal of 225882000 is 288522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537956 + ... + 2538044.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^225882000 is an apocalyptic number.

225882000 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 225882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

225882000 is an abundant number, since it is smaller than the sum of its proper divisors (609778800).

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

225882000 is a wasteful number, since it uses less digits than its factorization.

225882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 225882000 is about 15029.3712443335. The cubic root of 225882000 is about 609.0139044121.

The spelling of 225882000 in words is "two hundred twenty-five million, eight hundred eighty-two thousand".