223332222233322 has 96 divisors (see below), whose sum is σ = 503044088274000. Its totient is φ = 71549290137600.

The previous prime is 223332222233321. The next prime is 223332222233339.

223332222233322 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 322 + 2 + 2 + 2 + 3 + 3 + 322 = 666.

223332222233322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 199382053113441 + 23950169119881 = 14120271^2 + 4893891^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (223332222233321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25292304 + ... + 32960052.

Almost surely, 2^{223332222233322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223332222233322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251522044137000).

223332222233322 is an abundant number, since it is smaller than the sum of its proper divisors (279711866040678).

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

223332222233322 is a wasteful number, since it uses less digits than its factorization.

223332222233322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668328 (or 7668325 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

The spelling of 223332222233322 in words is "two hundred twenty-three trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred twenty-two".