221344323002220 has 192 divisors, whose sum is σ = 694522365852672. Its totient is φ = 52198233984000.

The previous prime is 221344323002219. The next prime is 221344323002251. The reversal of 221344323002220 is 22200323443122.

It is a super-2 number, since 2×221344323002220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118019410 + ... + 119880230.

It is an arithmetic number, because the mean of its divisors is an integer number (3617303988816).

Almost surely, 2^{221344323002220} is an apocalyptic number.

221344323002220 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 221344323002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347261182926336).

221344323002220 is an abundant number, since it is smaller than the sum of its proper divisors (473178042850452).

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

221344323002220 is a wasteful number, since it uses less digits than its factorization.

221344323002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865752 (or 1865750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 221344323002220 its reverse (22200323443122), we get a palindrome (243544646445342).

The spelling of 221344323002220 in words is "two hundred twenty-one trillion, three hundred forty-four billion, three hundred twenty-three million, two thousand, two hundred twenty".