223424322 has 64 divisors (see below), whose sum is σ = 498158208. Its totient is φ = 66792000.

The previous prime is 223424321. The next prime is 223424329.

It is a happy number.

223424322 is nontrivially palindromic in base 10.

223424322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×223424322² = 99836855322319368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223424292 and 223424301.

It is not an unprimeable number, because it can be changed into a prime (223424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806448 + ... + 806724.

It is an arithmetic number, because the mean of its divisors is an integer number (7783722).

Almost surely, 2^223424322 is an apocalyptic number.

223424322 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 223424322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249079104).

223424322 is an abundant number, since it is smaller than the sum of its proper divisors (274733886).

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

223424322 is a wasteful number, since it uses less digits than its factorization.

223424322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 223424322 is about 14947.3851224888. The cubic root of 223424322 is about 606.7970809407.

The spelling of 223424322 in words is "two hundred twenty-three million, four hundred twenty-four thousand, three hundred twenty-two".