223221343122322 has 32 divisors (see below), whose sum is σ = 342255050879472. Its totient is φ = 109163564826624.

The previous prime is 223221343122319. The next prime is 223221343122391.

It is a happy number.

223221343122322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 95841926632321 + 127379416490001 = 9789889^2 + 11286249^2 .

It is a super-3 number, since 3×223221343122322³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 13206738 + ... + 24917074.

Almost surely, 2^{223221343122322} is an apocalyptic number.

223221343122322 is a deficient number, since it is larger than the sum of its proper divisors (119033707757150).

223221343122322 is a wasteful number, since it uses less digits than its factorization.

223221343122322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711502.

The product of its digits is 82944, while the sum is 34.

The spelling of 223221343122322 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred twenty-two thousand, three hundred twenty-two".