220341442200 has 192 divisors, whose sum is σ = 745939221120. Its totient is φ = 53359872000.

The previous prime is 220341442121. The next prime is 220341442267. The reversal of 220341442200 is 2244143022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6431115 + ... + 6465285.

It is an arithmetic number, because the mean of its divisors is an integer number (3885100110).

Almost surely, 2^220341442200 is an apocalyptic number.

220341442200 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 220341442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372969610560).

220341442200 is an abundant number, since it is smaller than the sum of its proper divisors (525597778920).

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

220341442200 is a wasteful number, since it uses less digits than its factorization.

220341442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35178 (or 35169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220341442200 its reverse (2244143022), we get a palindrome (222585585222).

The spelling of 220341442200 in words is "two hundred twenty billion, three hundred forty-one million, four hundred forty-two thousand, two hundred".