10838224 has 20 divisors (see below), whose sum is σ = 21062020. Its totient is φ = 5402880.

The previous prime is 10838213. The next prime is 10838239. The reversal of 10838224 is 42283801.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 5856400 = 2232^2 + 2420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10838192 and 10838201.

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, 5932 + ... + 7540.

It is an arithmetic number, because the mean of its divisors is an integer number (1053101).

Almost surely, 2^10838224 is an apocalyptic number.

It is an amenable number.

10838224 is a deficient number, since it is larger than the sum of its proper divisors (10223796).

10838224 is a wasteful number, since it uses less digits than its factorization.

10838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 10838224 is about 3292.1458047905. The cubic root of 10838224 is about 221.3023577238.

The spelling of 10838224 in words is "ten million, eight hundred thirty-eight thousand, two hundred twenty-four".