205233420 has 48 divisors (see below), whose sum is σ = 656748288. Its totient is φ = 46910400.

The previous prime is 205233419. The next prime is 205233451. The reversal of 205233420 is 24332502.

205233420 is digitally balanced in base 2, 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 (21).

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, 243906 + ... + 244745.

It is an arithmetic number, because the mean of its divisors is an integer number (13682256).

Almost surely, 2^205233420 is an apocalyptic number.

205233420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205233420 is an abundant number, since it is smaller than the sum of its proper divisors (451514868).

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

205233420 is a wasteful number, since it uses less digits than its factorization.

205233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488670 (or 488668 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 205233420 is about 14325.9701242185. The cubic root of 205233420 is about 589.8605626630.

Adding to 205233420 its reverse (24332502), we get a palindrome (229565922).

The spelling of 205233420 in words is "two hundred five million, two hundred thirty-three thousand, four hundred twenty".