22202020442224 has 160 divisors (see below), whose sum is σ = 51907961408000. Its totient is φ = 8986719716352.

The previous prime is 22202020442219. The next prime is 22202020442227. The reversal of 22202020442224 is 42224402020222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22202020442192 and 22202020442201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202020442227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933905602 + ... + 933929374.

It is an arithmetic number, because the mean of its divisors is an integer number (324424758800).

Almost surely, 2^{22202020442224} 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 22202020442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953980704000).

22202020442224 is an abundant number, since it is smaller than the sum of its proper divisors (29705940965776).

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

22202020442224 is a wasteful number, since it uses less digits than its factorization.

22202020442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25135 (or 25129 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22202020442224 its reverse (42224402020222), we get a palindrome (64426422462446).

The spelling of 22202020442224 in words is "twenty-two trillion, two hundred two billion, twenty million, four hundred forty-two thousand, two hundred twenty-four".