205113200 has 60 divisors (see below), whose sum is σ = 506139480. Its totient is φ = 79822080.

The previous prime is 205113187. The next prime is 205113221. The reversal of 205113200 is 2311502.

It is a happy number.

205113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7871 + ... + 21729.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^205113200 is an apocalyptic number.

205113200 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 205113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253069740).

205113200 is an abundant number, since it is smaller than the sum of its proper divisors (301026280).

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

205113200 is a wasteful number, since it uses less digits than its factorization.

205113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 205113200 is about 14321.7736331783. The cubic root of 205113200 is about 589.7453655578.

Adding to 205113200 its reverse (2311502), we get a palindrome (207424702).

It can be divided in two parts, 2051 and 13200, that added together give a palindrome (15251).

The spelling of 205113200 in words is "two hundred five million, one hundred thirteen thousand, two hundred".