220008820 has 12 divisors (see below), whose sum is σ = 462018564. Its totient is φ = 88003520.

The previous prime is 220008797. The next prime is 220008827. The reversal of 220008820 is 28800022.

It can be written as a sum of positive squares in 2 ways, for example, as 25462116 + 194546704 = 5046^2 + 13948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220008791 and 220008800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220008827) 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 3 ways as a sum of consecutive naturals, for example, 5500201 + ... + 5500240.

It is an arithmetic number, because the mean of its divisors is an integer number (38501547).

Almost surely, 2^220008820 is an apocalyptic number.

220008820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220008820 is an abundant number, since it is smaller than the sum of its proper divisors (242009744).

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

220008820 is a wasteful number, since it uses less digits than its factorization.

220008820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000450 (or 11000448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 220008820 is about 14832.6942933508. The cubic root of 220008820 is about 603.6891409463.

Adding to 220008820 its reverse (28800022), we get a palindrome (248808842).

The spelling of 220008820 in words is "two hundred twenty million, eight thousand, eight hundred twenty".