34223222232243 has 24 divisors (see below), whose sum is σ = 53975522802240. Its totient is φ = 20722877152560.

The previous prime is 34223222232187. The next prime is 34223222232247.

It is a happy number.

34223222232243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 322 + 2 + 2 + 322 + 4 + 3 = 666.

34223222232243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34223222232243 - 2¹² = 34223222228147 is a prime.

It is a super-2 number, since 2×34223222232243² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34223222232198 and 34223222232207.

It is not an unprimeable number, because it can be changed into a prime (34223222232247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153802053 + ... + 154024406.

It is an arithmetic number, because the mean of its divisors is an integer number (2248980116760).

Almost surely, 2^{34223222232243} is an apocalyptic number.

34223222232243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34223222232243 is a deficient number, since it is larger than the sum of its proper divisors (19752300569997).

34223222232243 is a wasteful number, since it uses less digits than its factorization.

34223222232243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307827599 (or 307827596 counting only the distinct ones).

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

It can be divided in two parts, 3422322 and 2232243, that added together give a palindrome (5654565).

The spelling of 34223222232243 in words is "thirty-four trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, two hundred forty-three".