205052224 has 56 divisors (see below), whose sum is σ = 450111368. Its totient is φ = 92067840.

The previous prime is 205052219. The next prime is 205052233. The reversal of 205052224 is 422250502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 121000000 = 9168^2 + 11000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205052195 and 205052204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27454 + ... + 34114.

It is an arithmetic number, because the mean of its divisors is an integer number (8037703).

Almost surely, 2^205052224 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 205052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225055684).

205052224 is an abundant number, since it is smaller than the sum of its proper divisors (245059144).

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

205052224 is a wasteful number, since it uses less digits than its factorization.

205052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205052224 is about 14319.6446883294. The cubic root of 205052224 is about 589.6869199817.

The spelling of 205052224 in words is "two hundred five million, fifty-two thousand, two hundred twenty-four".