205022180 has 96 divisors (see below), whose sum is σ = 489525120. Its totient is φ = 71470080.

The previous prime is 205022177. The next prime is 205022183. The reversal of 205022180 is 81220502.

205022180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205022177) and next prime (205022183).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (205022183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724319 + ... + 724601.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2^205022180 is an apocalyptic number.

205022180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205022180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244762560).

205022180 is an abundant number, since it is smaller than the sum of its proper divisors (284502940).

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

205022180 is a wasteful number, since it uses less digits than its factorization.

205022180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 205022180 is about 14318.5956015246. The cubic root of 205022180 is about 589.6581185073.

Adding to 205022180 its reverse (81220502), we get a palindrome (286242682).

The spelling of 205022180 in words is "two hundred five million, twenty-two thousand, one hundred eighty".