22313200231322 has 96 divisors (see below), whose sum is σ = 45334921363200. Its totient is φ = 8014801639680.

The previous prime is 22313200231321. The next prime is 22313200231337.

22313200231322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22313200231322³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22313200231291 and 22313200231300.

It is not an unprimeable number, because it can be changed into a prime (22313200231321) by changing a digit.

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, 17189579 + ... + 18442017.

It is an arithmetic number, because the mean of its divisors is an integer number (472238764200).

Almost surely, 2^{22313200231322} is an apocalyptic number.

22313200231322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22313200231322 is an abundant number, since it is smaller than the sum of its proper divisors (23021721131878).

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

22313200231322 is a wasteful number, since it uses less digits than its factorization.

22313200231322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253292 (or 1253281 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 22313200 and 231322, that added together give a palindrome (22544522).

The spelling of 22313200231322 in words is "twenty-two trillion, three hundred thirteen billion, two hundred million, two hundred thirty-one thousand, three hundred twenty-two".