22322400422322 has 128 divisors (see below), whose sum is σ = 60289161891840. Its totient is φ = 5321087274240.

The previous prime is 22322400422321. The next prime is 22322400422393.

It is a happy number.

22322400422322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22322400422322³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22322400422322.

It is not an unprimeable number, because it can be changed into a prime (22322400422321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9702822 + ... + 11780897.

It is an arithmetic number, because the mean of its divisors is an integer number (471009077280).

Almost surely, 2^{22322400422322} is an apocalyptic number.

22322400422322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22322400422322 is an abundant number, since it is smaller than the sum of its proper divisors (37966761469518).

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

22322400422322 is a wasteful number, since it uses less digits than its factorization.

22322400422322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21483928.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 22322400 and 422322, that added together give a palindrome (22744722).

The spelling of 22322400422322 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, three hundred twenty-two".