224329872 has 80 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 67547136.

The previous prime is 224329849. The next prime is 224329873. The reversal of 224329872 is 278923422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 224329872.

It is not an unprimeable number, because it can be changed into a prime (224329873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25504 + ... + 33152.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2^224329872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224329872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

224329872 is an abundant number, since it is smaller than the sum of its proper divisors (413129328).

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

224329872 is a wasteful number, since it uses less digits than its factorization.

224329872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7714 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 224329872 is about 14977.6457429063. The cubic root of 224329872 is about 607.6157688903.

The spelling of 224329872 in words is "two hundred twenty-four million, three hundred twenty-nine thousand, eight hundred seventy-two".