225216400 has 30 divisors (see below), whose sum is σ = 541083362. Its totient is φ = 90086400.

The previous prime is 225216377. The next prime is 225216421. The reversal of 225216400 is 4612522.

It can be written as a sum of positive squares in 3 ways, for example, as 3444736 + 221771664 = 1856^2 + 14892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281121 + ... + 281920.

Almost surely, 2^225216400 is an apocalyptic number.

225216400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225216400 is an abundant number, since it is smaller than the sum of its proper divisors (315866962).

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

225216400 is a wasteful number, since it uses less digits than its factorization.

225216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563059 (or 563048 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 225216400 is about 15007.2115997610. The cubic root of 225216400 is about 608.4151279687.

Adding to 225216400 its reverse (4612522), we get a palindrome (229828922).

The spelling of 225216400 in words is "two hundred twenty-five million, two hundred sixteen thousand, four hundred".