205120233 has 24 divisors (see below), whose sum is σ = 312037440. Its totient is φ = 129587040.

The previous prime is 205120231. The next prime is 205120271. The reversal of 205120233 is 332021502.

It is not a de Polignac number, because 205120233 - 2¹ = 205120231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205120231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18018 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (13001560).

Almost surely, 2^205120233 is an apocalyptic number.

205120233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205120233 is a deficient number, since it is larger than the sum of its proper divisors (106917207).

205120233 is a wasteful number, since it uses less digits than its factorization.

205120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205120233 is about 14322.0191663047. The cubic root of 205120233 is about 589.7521059525.

Adding to 205120233 its reverse (332021502), we get a palindrome (537141735).

The spelling of 205120233 in words is "two hundred five million, one hundred twenty thousand, two hundred thirty-three".