205243300 has 72 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 78731520.

The previous prime is 205243289. The next prime is 205243307. The reversal of 205243300 is 3342502.

205243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205243307) 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, 253296 + ... + 254104.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^205243300 is an apocalyptic number.

205243300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

205243300 is an abundant number, since it is smaller than the sum of its proper divisors (258789500).

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

205243300 is a wasteful number, since it uses less digits than its factorization.

205243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 205243300 is about 14326.3149483738. The cubic root of 205243300 is about 589.8700278675.

Adding to 205243300 its reverse (3342502), we get a palindrome (208585802).

The spelling of 205243300 in words is "two hundred five million, two hundred forty-three thousand, three hundred".