225575600 has 120 divisors (see below), whose sum is σ = 580290240. Its totient is φ = 84015360.

The previous prime is 225575593. The next prime is 225575629. The reversal of 225575600 is 6575522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508979 + ... + 509421.

It is an arithmetic number, because the mean of its divisors is an integer number (4835752).

Almost surely, 2^225575600 is an apocalyptic number.

225575600 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 225575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290145120).

225575600 is an abundant number, since it is smaller than the sum of its proper divisors (354714640).

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

225575600 is a wasteful number, since it uses less digits than its factorization.

225575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 225575600 is about 15019.1744113983. The cubic root of 225575600 is about 608.7384120508.

The spelling of 225575600 in words is "two hundred twenty-five million, five hundred seventy-five thousand, six hundred".