205225650 has 288 divisors, whose sum is σ = 693288960. Its totient is φ = 44089920.

The previous prime is 205225621. The next prime is 205225651. The reversal of 205225650 is 56522502.

205225650 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 5 + 650 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205225651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1615887 + ... + 1616013.

Almost surely, 2^205225650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205225650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346644480).

205225650 is an abundant number, since it is smaller than the sum of its proper divisors (488063310).

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

205225650 is a wasteful number, since it uses less digits than its factorization.

205225650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 205225650 is about 14325.6989358286. The cubic root of 205225650 is about 589.8531186603.

The spelling of 205225650 in words is "two hundred five million, two hundred twenty-five thousand, six hundred fifty".