225023400 has 192 divisors, whose sum is σ = 885955200. Its totient is φ = 51425280.

The previous prime is 225023333. The next prime is 225023411. The reversal of 225023400 is 4320522.

225023400 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34824 + ... + 40776.

It is an arithmetic number, because the mean of its divisors is an integer number (4614350).

Almost surely, 2^225023400 is an apocalyptic number.

225023400 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 225023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442977600).

225023400 is an abundant number, since it is smaller than the sum of its proper divisors (660931800).

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

225023400 is a wasteful number, since it uses less digits than its factorization.

225023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225023400 is about 15000.7799797211. The cubic root of 225023400 is about 608.2412837934.

Adding to 225023400 its reverse (4320522), we get a palindrome (229343922).

The spelling of 225023400 in words is "two hundred twenty-five million, twenty-three thousand, four hundred".