205123240 has 64 divisors (see below), whose sum is σ = 555235200. Its totient is φ = 66624768.

The previous prime is 205123229. The next prime is 205123253. The reversal of 205123240 is 42321502.

205123240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13959 + ... + 24598.

It is an arithmetic number, because the mean of its divisors is an integer number (8675550).

Almost surely, 2^205123240 is an apocalyptic number.

205123240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205123240 is an abundant number, since it is smaller than the sum of its proper divisors (350111960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205123240 is a wasteful number, since it uses less digits than its factorization.

205123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594 (or 38590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205123240 is about 14322.1241441345. The cubic root of 205123240 is about 589.7549878003.

Adding to 205123240 its reverse (42321502), we get a palindrome (247444742).

The spelling of 205123240 in words is "two hundred five million, one hundred twenty-three thousand, two hundred forty".