225396864 has 384 divisors, whose sum is σ = 851169600. Its totient is φ = 58544640.

The previous prime is 225396823. The next prime is 225396869. The reversal of 225396864 is 468693522.

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 is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (225396869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20490619 + ... + 20490629.

Almost surely, 2^225396864 is an apocalyptic number.

225396864 is a gapful number since it is divisible by the number (24) 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 225396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425584800).

225396864 is an abundant number, since it is smaller than the sum of its proper divisors (625772736).

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

225396864 is an equidigital number, since it uses as much as digits as its factorization.

225396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 225396864 is about 15013.2229717673. Note that the first 3 decimals coincide. The cubic root of 225396864 is about 608.5775905517.

It can be divided in two parts, 22539 and 6864, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 225396864 in words is "two hundred twenty-five million, three hundred ninety-six thousand, eight hundred sixty-four".