20022322322002 has 96 divisors (see below), whose sum is σ = 41063371360704. Its totient is φ = 7197570172800.

The previous prime is 20022322321987. The next prime is 20022322322129.

20022322322002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20022322322002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30690177 + ... + 31335787.

It is an arithmetic number, because the mean of its divisors is an integer number (427743451674).

Almost surely, 2^{20022322322002} is an apocalyptic number.

20022322322002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20022322322002 is an abundant number, since it is smaller than the sum of its proper divisors (21041049038702).

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

20022322322002 is a wasteful number, since it uses less digits than its factorization.

20022322322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647864 (or 647857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

It can be divided in two parts, 2002232 and 2322002, that added together give a palindrome (4324234).

The spelling of 20022322322002 in words is "twenty trillion, twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, two".