225993800 has 36 divisors (see below), whose sum is σ = 525930345. Its totient is φ = 90312480.

The previous prime is 225993797. The next prime is 225993821. The reversal of 225993800 is 8399522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 221473924 + 4519876 = 14882^2 + 2126^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10630.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212069 + ... + 213131.

Almost surely, 2^225993800 is an apocalyptic number.

225993800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225993800 is an abundant number, since it is smaller than the sum of its proper divisors (299936545).

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

225993800 is an equidigital number, since it uses as much as digits as its factorization.

225993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 225993800 is about 15033.0901680260. The cubic root of 225993800 is about 609.1143647177.

The spelling of 225993800 in words is "two hundred twenty-five million, nine hundred ninety-three thousand, eight hundred".