22333022033322 has 128 divisors (see below), whose sum is σ = 60055789086720. Its totient is φ = 5347017411840.

The previous prime is 22333022033251. The next prime is 22333022033347.

22333022033322 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22333022033322.

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, 1635933 + ... + 6880575.

It is an arithmetic number, because the mean of its divisors is an integer number (469185852240).

Almost surely, 2^{22333022033322} is an apocalyptic number.

22333022033322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22333022033322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30027894543360).

22333022033322 is an abundant number, since it is smaller than the sum of its proper divisors (37722767053398).

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

22333022033322 is a wasteful number, since it uses less digits than its factorization.

22333022033322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245388.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2233302 and 2033322, that added together give a palindrome (4266624).

The spelling of 22333022033322 in words is "twenty-two trillion, three hundred thirty-three billion, twenty-two million, thirty-three thousand, three hundred twenty-two".