220220002420 has 72 divisors (see below), whose sum is σ = 509186534472. Its totient is φ = 79944437760.

The previous prime is 220220002339. The next prime is 220220002463. The reversal of 220220002420 is 24200022022.

220220002420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93809888656 + 126410113764 = 306284^2 + 355542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220220002394 and 220220002403.

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, 1358332 + ... + 1511788.

It is an arithmetic number, because the mean of its divisors is an integer number (7072035201).

Almost surely, 2^220220002420 is an apocalyptic number.

220220002420 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 220220002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254593267236).

220220002420 is an abundant number, since it is smaller than the sum of its proper divisors (288966532052).

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

220220002420 is a wasteful number, since it uses less digits than its factorization.

220220002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154081 (or 154068 counting only the distinct ones).

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

Adding to 220220002420 its reverse (24200022022), we get a palindrome (244420024442).

The spelling of 220220002420 in words is "two hundred twenty billion, two hundred twenty million, two thousand, four hundred twenty".