224008 has 8 divisors (see below), whose sum is σ = 420030. Its totient is φ = 112000.

The previous prime is 223999. The next prime is 224011. The reversal of 224008 is 800422.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 49284 = 418^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 8 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 223982 and 224000.

It is an unprimeable number.

224008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13993 + ... + 14008.

2²²⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

224008 is a deficient number, since it is larger than the sum of its proper divisors (196022).

224008 is a wasteful number, since it uses less digits than its factorization.

224008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28007 (or 28003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 224008 is about 473.2948341151. The cubic root of 224008 is about 60.7325024263.

The spelling of 224008 in words is "two hundred twenty-four thousand, eight".