205043220 has 72 divisors (see below), whose sum is σ = 633729096. Its totient is φ = 53644032.

The previous prime is 205043219. The next prime is 205043299. The reversal of 205043220 is 22340502.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 197458704 = 2754^2 + 14052^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205043193 and 205043202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207 + ... + 20286.

It is an arithmetic number, because the mean of its divisors is an integer number (8801793).

Almost surely, 2^205043220 is an apocalyptic number.

205043220 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 205043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316864548).

205043220 is an abundant number, since it is smaller than the sum of its proper divisors (428685876).

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

205043220 is a wasteful number, since it uses less digits than its factorization.

205043220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21561 (or 21556 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205043220 is about 14319.3302916023. The cubic root of 205043220 is about 589.6782886541.

Adding to 205043220 its reverse (22340502), we get a palindrome (227383722).

The spelling of 205043220 in words is "two hundred five million, forty-three thousand, two hundred twenty".