225123600 has 120 divisors (see below), whose sum is σ = 776672512. Its totient is φ = 55411200.

The previous prime is 225123593. The next prime is 225123601. The reversal of 225123600 is 6321522.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (225123601) 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 23 ways as a sum of consecutive naturals, for example, 8385 + ... + 22815.

Almost surely, 2^225123600 is an apocalyptic number.

225123600 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 225123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388336256).

225123600 is an abundant number, since it is smaller than the sum of its proper divisors (551548912).

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

225123600 is a wasteful number, since it uses less digits than its factorization.

225123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 225123600 is about 15004.1194343420. The cubic root of 225123600 is about 608.3315510467.

The spelling of 225123600 in words is "two hundred twenty-five million, one hundred twenty-three thousand, six hundred".