220343200 has 288 divisors, whose sum is σ = 693705600. Its totient is φ = 67737600.

The previous prime is 220343183. The next prime is 220343203. The reversal of 220343200 is 2343022.

220343200 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×220343200² = 97102251572480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220343203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3018364 + ... + 3018436.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^220343200 is an apocalyptic number.

220343200 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 220343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346852800).

220343200 is an abundant number, since it is smaller than the sum of its proper divisors (473362400).

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

220343200 is a wasteful number, since it uses less digits than its factorization.

220343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 220343200 is about 14843.9617353320. The cubic root of 220343200 is about 603.9948247440.

Adding to 220343200 its reverse (2343022), we get a palindrome (222686222).

The spelling of 220343200 in words is "two hundred twenty million, three hundred forty-three thousand, two hundred".