224100009 has 48 divisors (see below), whose sum is σ = 383438848. Its totient is φ = 123451776.

The previous prime is 224099989. The next prime is 224100013. The reversal of 224100009 is 900001422.

It is not a de Polignac number, because 224100009 - 2⁸ = 224099753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224099964 and 224100000.

It is not an unprimeable number, because it can be changed into a prime (224102009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295659 + ... + 296415.

Almost surely, 2^224100009 is an apocalyptic number.

It is an amenable number.

224100009 is a deficient number, since it is larger than the sum of its proper divisors (159338839).

224100009 is a wasteful number, since it uses less digits than its factorization.

224100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 224100009 is about 14969.9702404514. The cubic root of 224100009 is about 607.4081637329.

The spelling of 224100009 in words is "two hundred twenty-four million, one hundred thousand, nine".