205224984 has 48 divisors (see below), whose sum is σ = 564941520. Its totient is φ = 67285440.

The previous prime is 205224931. The next prime is 205224989. The reversal of 205224984 is 489422502.

205224984 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205224989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18972 + ... + 27755.

It is an arithmetic number, because the mean of its divisors is an integer number (11769615).

Almost surely, 2^205224984 is an apocalyptic number.

205224984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205224984 is an abundant number, since it is smaller than the sum of its proper divisors (359716536).

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

205224984 is a wasteful number, since it uses less digits than its factorization.

205224984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46800 (or 46793 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 205224984 is about 14325.6756908706. The cubic root of 205224984 is about 589.8524805942.

It can be divided in two parts, 20522498 and 4, that added together give a palindrome (20522502).

The spelling of 205224984 in words is "two hundred five million, two hundred twenty-four thousand, nine hundred eighty-four".