205222724 has 72 divisors (see below), whose sum is σ = 440375040. Its totient is φ = 81948672.

The previous prime is 205222723. The next prime is 205222733. The reversal of 205222724 is 427222502.

205222724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205222693 and 205222702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205222723) 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, 798404 + ... + 798660.

It is an arithmetic number, because the mean of its divisors is an integer number (6116320).

Almost surely, 2^205222724 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 205222724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220187520).

205222724 is an abundant number, since it is smaller than the sum of its proper divisors (235152316).

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

205222724 is a wasteful number, since it uses less digits than its factorization.

205222724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 205222724 is about 14325.5968113025. The cubic root of 205222724 is about 589.8503153745.

The spelling of 205222724 in words is "two hundred five million, two hundred twenty-two thousand, seven hundred twenty-four".