225122400 has 108 divisors (see below), whose sum is σ = 793863252. Its totient is φ = 60030720.

The previous prime is 225122399. The next prime is 225122407. The reversal of 225122400 is 4221522.

225122400 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225122407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8434 + ... + 22833.

Almost surely, 2^225122400 is an apocalyptic number.

225122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225122400 is an abundant number, since it is smaller than the sum of its proper divisors (568740852).

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

225122400 is a wasteful number, since it uses less digits than its factorization.

225122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31293 (or 31277 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225122400 is about 15004.0794452709. The cubic root of 225122400 is about 608.3304701602.

Adding to 225122400 its reverse (4221522), we get a palindrome (229343922).

It can be divided in two parts, 225122 and 400, that added together give a palindrome (225522).

The spelling of 225122400 in words is "two hundred twenty-five million, one hundred twenty-two thousand, four hundred".