223322242223322 has 288 divisors, whose sum is σ = 565922547590400. Its totient is φ = 63476991325440.

The previous prime is 223322242223251. The next prime is 223322242223341.

223322242223322 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 222 + 422 + 2 + 3 + 3 + 2 + 2 = 666.

223322242223322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223322242223322³ (a number of 44 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 1540006543 + ... + 1540151549.

It is an arithmetic number, because the mean of its divisors is an integer number (1965008845800).

Almost surely, 2^{223322242223322} is an apocalyptic number.

223322242223322 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 223322242223322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282961273795200).

223322242223322 is an abundant number, since it is smaller than the sum of its proper divisors (342600305367078).

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

223322242223322 is a wasteful number, since it uses less digits than its factorization.

223322242223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145762 (or 145748 counting only the distinct ones).

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

The spelling of 223322242223322 in words is "two hundred twenty-three trillion, three hundred twenty-two billion, two hundred forty-two million, two hundred twenty-three thousand, three hundred twenty-two".