220405200 has 120 divisors (see below), whose sum is σ = 717843936. Its totient is φ = 57792000.

The previous prime is 220405193. The next prime is 220405219. The reversal of 220405200 is 2504022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220405200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71695 + ... + 74705.

Almost surely, 2^220405200 is an apocalyptic number.

220405200 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 220405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358921968).

220405200 is an abundant number, since it is smaller than the sum of its proper divisors (497438736).

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

220405200 is a wasteful number, since it uses less digits than its factorization.

220405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 220405200 is about 14846.0499797084. The cubic root of 220405200 is about 604.0514699644.

Adding to 220405200 its reverse (2504022), we get a palindrome (222909222).

The spelling of 220405200 in words is "two hundred twenty million, four hundred five thousand, two hundred".