422210303012224 has 64 divisors (see below), whose sum is σ = 849758655444480. Its totient is φ = 208939061248000.

The previous prime is 422210303012191. The next prime is 422210303012227.

422210303012224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 422210303012192 and 422210303012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422210303012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29659329 + ... + 41522239.

It is an arithmetic number, because the mean of its divisors is an integer number (13277478991320).

Almost surely, 2^{422210303012224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422210303012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424879327722240).

422210303012224 is an abundant number, since it is smaller than the sum of its proper divisors (427548352432256).

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

422210303012224 is a wasteful number, since it uses less digits than its factorization.

422210303012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865779 (or 11865767 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 42221030 and 3012224, that added together give a palindrome (45233254).

The spelling of 422210303012224 in words is "four hundred twenty-two trillion, two hundred ten billion, three hundred three million, twelve thousand, two hundred twenty-four".