223222343222322 has 384 divisors, whose sum is σ = 514140314950080. Its totient is φ = 69919204147200.

The previous prime is 223222343222279. The next prime is 223222343222323.

223222343222322 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 2 + 3 + 4 + 322 + 2 + 322 = 666.

223222343222322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 32 ways, for example, as 7802407571841 + 215419935650481 = 2793279^2 + 14677191^2 .

It is a super-3 number, since 3×223222343222322³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223222343222323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261690906048 + ... + 261690906900.

Almost surely, 2^{223222343222322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223222343222322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257070157475040).

223222343222322 is an abundant number, since it is smaller than the sum of its proper divisors (290917971727758).

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

223222343222322 is a wasteful number, since it uses less digits than its factorization.

223222343222322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1595 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 223222343222322 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, three hundred forty-three million, two hundred twenty-two thousand, three hundred twenty-two".