23205310 has 32 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 8973312.

The previous prime is 23205293. The next prime is 23205319. The reversal of 23205310 is 1350232.

It is a super-2 number, since 2×23205310² = 1076972824392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205319) 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, 45336 + ... + 45844.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^23205310 is an apocalyptic number.

23205310 is a deficient number, since it is larger than the sum of its proper divisors (19977410).

23205310 is a wasteful number, since it uses less digits than its factorization.

23205310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23205310 is about 4817.1890143527. The cubic root of 23205310 is about 285.2303872201.

Adding to 23205310 its reverse (1350232), we get a palindrome (24555542).

The spelling of 23205310 in words is "twenty-three million, two hundred five thousand, three hundred ten".