422230032224 has 192 divisors, whose sum is σ = 1164632878080. Its totient is φ = 145248491520.

The previous prime is 422230032199. The next prime is 422230032233.

422230032224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422230032224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 422230032193 and 422230032202.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 450182 + ... + 1023290.

It is an arithmetic number, because the mean of its divisors is an integer number (6065796240).

Almost surely, 2^422230032224 is an apocalyptic number.

422230032224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422230032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582316439040).

422230032224 is an abundant number, since it is smaller than the sum of its proper divisors (742402845856).

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

422230032224 is a wasteful number, since it uses less digits than its factorization.

422230032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573173 (or 573165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 4222300 and 32224, that added together give a palindrome (4254524).

The spelling of 422230032224 in words is "four hundred twenty-two billion, two hundred thirty million, thirty-two thousand, two hundred twenty-four".