224328864 has 48 divisors (see below), whose sum is σ = 597669408. Its totient is φ = 73658112.

The previous prime is 224328851. The next prime is 224328899. The reversal of 224328864 is 468823422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11007 + ... + 23870.

It is an arithmetic number, because the mean of its divisors is an integer number (12451446).

Almost surely, 2^224328864 is an apocalyptic number.

224328864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224328864 is an abundant number, since it is smaller than the sum of its proper divisors (373340544).

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

224328864 is a wasteful number, since it uses less digits than its factorization.

224328864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34957 (or 34949 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 224328864 is about 14977.6120927203. The cubic root of 224328864 is about 607.6148588055.

The spelling of 224328864 in words is "two hundred twenty-four million, three hundred twenty-eight thousand, eight hundred sixty-four".