221333022330200 has 384 divisors, whose sum is σ = 583037615347200. Its totient is φ = 77402314752000.

The previous prime is 221333022330097. The next prime is 221333022330221. The reversal of 221333022330200 is 2033220333122.

It is a self number, because there is not a number n which added to its sum of digits gives 221333022330200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22824891752 + ... + 22824901448.

It is an arithmetic number, because the mean of its divisors is an integer number (1518327123300).

Almost surely, 2^{221333022330200} is an apocalyptic number.

221333022330200 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 221333022330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291518807673600).

221333022330200 is an abundant number, since it is smaller than the sum of its proper divisors (361704593017000).

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

221333022330200 is a wasteful number, since it uses less digits than its factorization.

221333022330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 221333022330200 its reverse (2033220333122), we get a palindrome (223366242663322).

The spelling of 221333022330200 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, twenty-two million, three hundred thirty thousand, two hundred".