224426304 has 42 divisors (see below), whose sum is σ = 643279130. Its totient is φ = 74808576.

The previous prime is 224426303. The next prime is 224426311. The reversal of 224426304 is 403624422.

224426304 is a `hidden beast` number, since 2 + 24 + 4 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208744704 + 15681600 = 14448^2 + 3960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224426303) 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 5 ways as a sum of consecutive naturals, for example, 194239 + ... + 195390.

Almost surely, 2^224426304 is an apocalyptic number.

224426304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224426304 is an abundant number, since it is smaller than the sum of its proper divisors (418852826).

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

224426304 is a wasteful number, since it uses less digits than its factorization.

224426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389647 (or 389634 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 224426304 is about 14980.8645945419. The cubic root of 224426304 is about 607.7028210655.

The spelling of 224426304 in words is "two hundred twenty-four million, four hundred twenty-six thousand, three hundred four".