220444020 has 72 divisors (see below), whose sum is σ = 670498920. Its totient is φ = 58625280.

The previous prime is 220444009. The next prime is 220444027. The reversal of 220444020 is 20444022.

220444020 is a `hidden beast` number, since 2 + 204 + 440 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 214153956 = 2508^2 + 14634^2 .

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 = 220443984 and 220444002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220444027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74326 + ... + 77234.

It is an arithmetic number, because the mean of its divisors is an integer number (9312485).

Almost surely, 2^220444020 is an apocalyptic number.

220444020 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 220444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335249460).

220444020 is an abundant number, since it is smaller than the sum of its proper divisors (450054900).

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

220444020 is a wasteful number, since it uses less digits than its factorization.

220444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220444020 is about 14847.3573406179. The cubic root of 220444020 is about 604.0869317737.

Adding to 220444020 its reverse (20444022), we get a palindrome (240888042).

The spelling of 220444020 in words is "two hundred twenty million, four hundred forty-four thousand, twenty".