22024400000 has 96 divisors (see below), whose sum is σ = 54843403860. Its totient is φ = 8809600000.

The previous prime is 22024399987. The next prime is 22024400029. The reversal of 22024400000 is 442022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2942845504 + 19081554496 = 54248^2 + 138136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372470 + ... + 427530.

Almost surely, 2^22024400000 is an apocalyptic number.

22024400000 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 22024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27421701930).

22024400000 is an abundant number, since it is smaller than the sum of its proper divisors (32819003860).

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

22024400000 is an frugal number, since it uses more digits than its factorization.

22024400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55100 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22024400000 its reverse (442022), we get a palindrome (22024842022).

The spelling of 22024400000 in words is "twenty-two billion, twenty-four million, four hundred thousand".