10205223 has 16 divisors (see below), whose sum is σ = 16369920. Its totient is φ = 5524416.

The previous prime is 10205207. The next prime is 10205227. The reversal of 10205223 is 32250201.

10205223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10205223 - 2⁴ = 10205207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12390 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^10205223 is an apocalyptic number.

10205223 is a deficient number, since it is larger than the sum of its proper divisors (6164697).

10205223 is a wasteful number, since it uses less digits than its factorization.

10205223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25606.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10205223 is about 3194.5614722525. The cubic root of 10205223 is about 216.9072989902.

Adding to 10205223 its reverse (32250201), we get a palindrome (42455424).

The spelling of 10205223 in words is "ten million, two hundred five thousand, two hundred twenty-three".