22220332433140 has 96 divisors (see below), whose sum is σ = 50747063631264. Its totient is φ = 8138544906240.

The previous prime is 22220332433119. The next prime is 22220332433141. The reversal of 22220332433140 is 4133423302222.

It can be written as a sum of positive squares in 16 ways, for example, as 69736133776 + 22150596299364 = 264076^2 + 4706442^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220332433141) by changing a digit.

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, 169022074 + ... + 169153486.

It is an arithmetic number, because the mean of its divisors is an integer number (528615246159).

Almost surely, 2^{22220332433140} is an apocalyptic number.

22220332433140 is a gapful number since it is divisible by the number (20) 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 22220332433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373531815632).

22220332433140 is an abundant number, since it is smaller than the sum of its proper divisors (28526731198124).

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

22220332433140 is a wasteful number, since it uses less digits than its factorization.

22220332433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144917 (or 144915 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 22220332433140 its reverse (4133423302222), we get a palindrome (26353755735362).

The spelling of 22220332433140 in words is "twenty-two trillion, two hundred twenty billion, three hundred thirty-two million, four hundred thirty-three thousand, one hundred forty".