22323211232322 has 512 divisors, whose sum is σ = 63306282074112. Its totient is φ = 5061242880000.

The previous prime is 22323211232261. The next prime is 22323211232383.

It is a happy number.

22323211232322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22323211232261) and next prime (22323211232383).

It is a super-3 number, since 3×22323211232322³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22323211232322.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2469104122 + ... + 2469113162.

It is an arithmetic number, because the mean of its divisors is an integer number (123645082176).

Almost surely, 2^{22323211232322} is an apocalyptic number.

22323211232322 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 22323211232322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31653141037056).

22323211232322 is an abundant number, since it is smaller than the sum of its proper divisors (40983070841790).

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

22323211232322 is a wasteful number, since it uses less digits than its factorization.

22323211232322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2232321 and 1232322, that added together give a palindrome (3464643).

The spelling of 22323211232322 in words is "twenty-two trillion, three hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, three hundred twenty-two".