22000310144 has 64 divisors (see below), whose sum is σ = 45751651200. Its totient is φ = 10525532160.

The previous prime is 22000310141. The next prime is 22000310191. The reversal of 22000310144 is 44101300022.

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

It is a super-3 number, since 3×22000310144³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000310141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322004 + ... + 384300.

It is an arithmetic number, because the mean of its divisors is an integer number (714869550).

Almost surely, 2^22000310144 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 22000310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22875825600).

22000310144 is an abundant number, since it is smaller than the sum of its proper divisors (23751341056).

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

22000310144 is an equidigital number, since it uses as much as digits as its factorization.

22000310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62431 (or 62419 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22000310144 its reverse (44101300022), we get a palindrome (66101610166).

The spelling of 22000310144 in words is "twenty-two billion, three hundred ten thousand, one hundred forty-four".