223233141332322 has 144 divisors (see below), whose sum is σ = 542904183581760. Its totient is φ = 66218859495360.

The previous prime is 223233141332273. The next prime is 223233141332371.

223233141332322 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 3 + 1 + 413 + 3 + 232 + 2 = 666.

223233141332322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (223233141332273) and next prime (223233141332371).

It is a super-3 number, since 3×223233141332322³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48472953 + ... + 52878099.

It is an arithmetic number, because the mean of its divisors is an integer number (3770167941540).

Almost surely, 2^{223233141332322} is an apocalyptic number.

223233141332322 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 223233141332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271452091790880).

223233141332322 is an abundant number, since it is smaller than the sum of its proper divisors (319671042249438).

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

223233141332322 is a wasteful number, since it uses less digits than its factorization.

223233141332322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405669 (or 4405655 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 223233141332322 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, one hundred forty-one million, three hundred thirty-two thousand, three hundred twenty-two".