220004100 has 180 divisors, whose sum is σ = 721857444. Its totient is φ = 57957120.

The previous prime is 220004093. The next prime is 220004111. The reversal of 220004100 is 1400022.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 219988224 = 126^2 + 14832^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

220004100 is a modest number, since divided by 4100 gives 2200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1271614 + ... + 1271786.

Almost surely, 2^220004100 is an apocalyptic number.

220004100 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 220004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360928722).

220004100 is an abundant number, since it is smaller than the sum of its proper divisors (501853344).

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

220004100 is a wasteful number, since it uses less digits than its factorization.

220004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220004100 is about 14832.5351845192. The cubic root of 220004100 is about 603.6848237965.

Adding to 220004100 its reverse (1400022), we get a palindrome (221404122).

The spelling of 220004100 in words is "two hundred twenty million, four thousand, one hundred".