224304672 has 48 divisors (see below), whose sum is σ = 590556960. Its totient is φ = 74545152.

The previous prime is 224304667. The next prime is 224304737. The reversal of 224304672 is 276403422.

224304672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 30579 + ... + 37197.

It is an arithmetic number, because the mean of its divisors is an integer number (12303270).

Almost surely, 2^224304672 is an apocalyptic number.

It is an amenable number.

224304672 is an abundant number, since it is smaller than the sum of its proper divisors (366252288).

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

224304672 is a wasteful number, since it uses less digits than its factorization.

224304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 224304672 is about 14976.8044655728. The cubic root of 224304672 is about 607.5930159526.

The spelling of 224304672 in words is "two hundred twenty-four million, three hundred four thousand, six hundred seventy-two".