225996800 has 78 divisors (see below), whose sum is σ = 560657568. Its totient is φ = 90357760.

The previous prime is 225996791. The next prime is 225996803. The reversal of 225996800 is 8699522.

It is a super-2 number, since 2×225996800² = 102149107220480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225996803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101297 + ... + 103503.

Almost surely, 2^225996800 is an apocalyptic number.

225996800 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 225996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280328784).

225996800 is an abundant number, since it is smaller than the sum of its proper divisors (334660768).

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

225996800 is an equidigital number, since it uses as much as digits as its factorization.

225996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 225996800 is about 15033.1899475793. The cubic root of 225996800 is about 609.1170599761.

The spelling of 225996800 in words is "two hundred twenty-five million, nine hundred ninety-six thousand, eight hundred".