22320002322 has 96 divisors (see below), whose sum is σ = 50346681840. Its totient is φ = 7140441600.

The previous prime is 22320002317. The next prime is 22320002333.

22320002322 is a `hidden beast` number, since 22 + 320 + 0 + 0 + 2 + 322 = 666.

22320002322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 13599991161 + 8720011161 = 116619^2 + 93381^2 .

It is a super-3 number, since 3×22320002322³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22320002295 and 22320002304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26166048 + ... + 26166900.

Almost surely, 2^22320002322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320002322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173340920).

22320002322 is an abundant number, since it is smaller than the sum of its proper divisors (28026679518).

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

22320002322 is a wasteful number, since it uses less digits than its factorization.

22320002322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 2232000 and 2322, that added together give a palindrome (2234322).

The spelling of 22320002322 in words is "twenty-two billion, three hundred twenty million, two thousand, three hundred twenty-two".