22104442334430 has 192 divisors, whose sum is σ = 62671027985280. Its totient is φ = 5382800842752.

The previous prime is 22104442334411. The next prime is 22104442334449. The reversal of 22104442334430 is 3443324440122.

22104442334430 is a `hidden beast` number, since 2 + 210 + 4 + 4 + 4 + 2 + 3 + 3 + 4 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (22104442334411) and next prime (22104442334449).

It is a super-2 number, since 2×22104442334430² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19779162 + ... + 20866818.

It is an arithmetic number, because the mean of its divisors is an integer number (326411604090).

Almost surely, 2^{22104442334430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22104442334430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31335513992640).

22104442334430 is an abundant number, since it is smaller than the sum of its proper divisors (40566585650850).

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

22104442334430 is a wasteful number, since it uses less digits than its factorization.

22104442334430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088083 (or 1088080 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22104442334430 its reverse (3443324440122), we get a palindrome (25547766774552).

The spelling of 22104442334430 in words is "twenty-two trillion, one hundred four billion, four hundred forty-two million, three hundred thirty-four thousand, four hundred thirty".