225888000 has 288 divisors, whose sum is σ = 812465472. Its totient is φ = 55296000.

The previous prime is 225887957. The next prime is 225888001. The reversal of 225888000 is 888522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225888001) 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 31 ways as a sum of consecutive naturals, for example, 1247910 + ... + 1248090.

Almost surely, 2^225888000 is an apocalyptic number.

225888000 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 225888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406232736).

225888000 is an abundant number, since it is smaller than the sum of its proper divisors (586577472).

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

225888000 is a wasteful number, since it uses less digits than its factorization.

225888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 225888000 is about 15029.5708521568. The cubic root of 225888000 is about 609.0192966834.

The spelling of 225888000 in words is "two hundred twenty-five million, eight hundred eighty-eight thousand".