22000204222416 has 200 divisors, whose sum is σ = 72799284367040. Its totient is φ = 6283363954176.

The previous prime is 22000204222343. The next prime is 22000204222453. The reversal of 22000204222416 is 61422240200022.

22000204222416 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 20 + 4 + 222 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22000204222416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23278095 + ... + 24204753.

Almost surely, 2^{22000204222416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000204222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36399642183520).

22000204222416 is an abundant number, since it is smaller than the sum of its proper divisors (50799080144624).

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

22000204222416 is a wasteful number, since it uses less digits than its factorization.

22000204222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929303 (or 929288 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22000204222416 its reverse (61422240200022), we get a palindrome (83422444422438).

The spelling of 22000204222416 in words is "twenty-two trillion, two hundred four million, two hundred twenty-two thousand, four hundred sixteen".