225267400 has 48 divisors (see below), whose sum is σ = 531595440. Its totient is φ = 88756800.

The previous prime is 225267353. The next prime is 225267409. The reversal of 225267400 is 4762522.

It is not an unprimeable number, because it can be changed into a prime (225267409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4995 + ... + 21805.

It is an arithmetic number, because the mean of its divisors is an integer number (11074905).

Almost surely, 2^225267400 is an apocalyptic number.

225267400 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 225267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265797720).

225267400 is an abundant number, since it is smaller than the sum of its proper divisors (306328040).

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

225267400 is a wasteful number, since it uses less digits than its factorization.

225267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 225267400 is about 15008.9106866554. The cubic root of 225267400 is about 608.4610494760.

The spelling of 225267400 in words is "two hundred twenty-five million, two hundred sixty-seven thousand, four hundred".