225300400 has 120 divisors (see below), whose sum is σ = 599187344. Its totient is φ = 80870400.

The previous prime is 225300379. The next prime is 225300401. The reversal of 225300400 is 4003522.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (225300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191815 + ... + 192985.

Almost surely, 2^225300400 is an apocalyptic number.

225300400 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 225300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299593672).

225300400 is an abundant number, since it is smaller than the sum of its proper divisors (373886944).

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

225300400 is a wasteful number, since it uses less digits than its factorization.

225300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 225300400 is about 15010.0099933344. The cubic root of 225300400 is about 608.4907596992.

Adding to 225300400 its reverse (4003522), we get a palindrome (229303922).

The spelling of 225300400 in words is "two hundred twenty-five million, three hundred thousand, four hundred".