224824 has 16 divisors (see below), whose sum is σ = 426600. Its totient is φ = 111072.

The previous prime is 224813. The next prime is 224831. The reversal of 224824 is 428422.

It is a super-4 number, since 4×224824⁴ (a number of 23 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224795 and 224804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1167 + ... + 1345.

2²²⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

224824 is a deficient number, since it is larger than the sum of its proper divisors (201776).

224824 is a wasteful number, since it uses less digits than its factorization.

224824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 224824 is about 474.1560924421. The cubic root of 224824 is about 60.8061570404.

The spelling of 224824 in words is "two hundred twenty-four thousand, eight hundred twenty-four".