205188912 has 120 divisors (see below), whose sum is σ = 616299840. Its totient is φ = 63498240.

The previous prime is 205188889. The next prime is 205188913. The reversal of 205188912 is 219881502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205188913) 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, 192862 + ... + 193922.

It is an arithmetic number, because the mean of its divisors is an integer number (5135832).

Almost surely, 2^205188912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205188912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308149920).

205188912 is an abundant number, since it is smaller than the sum of its proper divisors (411110928).

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

205188912 is a wasteful number, since it uses less digits than its factorization.

205188912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 205188912 is about 14324.4166373364. The cubic root of 205188912 is about 589.8179194912.

The spelling of 205188912 in words is "two hundred five million, one hundred eighty-eight thousand, nine hundred twelve".