225451400 has 48 divisors (see below), whose sum is σ = 534089700. Its totient is φ = 88474880.

The previous prime is 225451381. The next prime is 225451417. The reversal of 225451400 is 4154522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 116165284 + 109286116 = 10778^2 + 10454^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35 + ... + 21234.

Almost surely, 2^225451400 is an apocalyptic number.

225451400 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 225451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267044850).

225451400 is an abundant number, since it is smaller than the sum of its proper divisors (308638300).

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

225451400 is a wasteful number, since it uses less digits than its factorization.

225451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21338 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 225451400 is about 15015.0391274881. The cubic root of 225451400 is about 608.6266694822.

The spelling of 225451400 in words is "two hundred twenty-five million, four hundred fifty-one thousand, four hundred".