22444442000 has 80 divisors (see below), whose sum is σ = 54830626032. Its totient is φ = 8885145600.

The previous prime is 22444441997. The next prime is 22444442021. The reversal of 22444442000 is 24444422.

It can be written as a sum of positive squares in 8 ways, for example, as 16163562496 + 6280879504 = 127136^2 + 79252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136154 + ... + 251846.

Almost surely, 2^22444442000 is an apocalyptic number.

22444442000 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 22444442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27415313016).

22444442000 is an abundant number, since it is smaller than the sum of its proper divisors (32386184032).

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

22444442000 is a wasteful number, since it uses less digits than its factorization.

22444442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115813 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 22444442000 its reverse (24444422), we get a palindrome (22468886422).

The spelling of 22444442000 in words is "twenty-two billion, four hundred forty-four million, four hundred forty-two thousand".