205224912 has 60 divisors (see below), whose sum is σ = 576185220. Its totient is φ = 68189184.

The previous prime is 205224911. The next prime is 205224917. The reversal of 205224912 is 219422502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 54819216 = 12264^2 + 7404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205224911) 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, 46414 + ... + 50642.

It is an arithmetic number, because the mean of its divisors is an integer number (9603087).

Almost surely, 2^205224912 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 205224912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288092610).

205224912 is an abundant number, since it is smaller than the sum of its proper divisors (370960308).

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

205224912 is a wasteful number, since it uses less digits than its factorization.

205224912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205224912 is about 14325.6731778999. The cubic root of 205224912 is about 589.8524116140.

The spelling of 205224912 in words is "two hundred five million, two hundred twenty-four thousand, nine hundred twelve".