223234121432322 has 972 divisors, whose sum is σ = 688336490960118. Its totient is φ = 52070347929600.

The previous prime is 223234121432281. The next prime is 223234121432327.

223234121432322 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 412 + 1 + 4 + 3 + 232 + 2 = 666.

223234121432322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 9 ways, for example, as 116618811362361 + 106615310069961 = 10799019^2 + 10325469^2 .

It is a super-3 number, since 3×223234121432322³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223234121432327) by changing a digit.

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 485 ways as a sum of consecutive naturals, for example, 24691304122 + ... + 24691313162.

Almost surely, 2^{223234121432322} is an apocalyptic number.

223234121432322 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 223234121432322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344168245480059).

223234121432322 is an abundant number, since it is smaller than the sum of its proper divisors (465102369527796).

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

223234121432322 is a wasteful number, since it uses less digits than its factorization.

223234121432322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9114 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 223234121432322 in words is "two hundred twenty-three trillion, two hundred thirty-four billion, one hundred twenty-one million, four hundred thirty-two thousand, three hundred twenty-two".