220020424 has 48 divisors (see below), whose sum is σ = 451113300. Its totient is φ = 100548864.

The previous prime is 220020421. The next prime is 220020433. The reversal of 220020424 is 424020022.

It can be written as a sum of positive squares in 6 ways, for example, as 92736900 + 127283524 = 9630^2 + 11282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220020398 and 220020407.

It is not an unprimeable number, because it can be changed into a prime (220020421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146622 + ... + 148114.

Almost surely, 2^220020424 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 220020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225556650).

220020424 is an abundant number, since it is smaller than the sum of its proper divisors (231092876).

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

220020424 is a wasteful number, since it uses less digits than its factorization.

220020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220020424 is about 14833.0854511123. The cubic root of 220020424 is about 603.6997542869.

Adding to 220020424 its reverse (424020022), we get a palindrome (644040446).

The spelling of 220020424 in words is "two hundred twenty million, twenty thousand, four hundred twenty-four".