22000405200 has 240 divisors, whose sum is σ = 71360016000. Its totient is φ = 5793638400.

The previous prime is 22000405117. The next prime is 22000405243. The reversal of 22000405200 is 250400022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22000405200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43222546 + ... + 43223054.

It is an arithmetic number, because the mean of its divisors is an integer number (297333400).

Almost surely, 2^22000405200 is an apocalyptic number.

22000405200 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 22000405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35680008000).

22000405200 is an abundant number, since it is smaller than the sum of its proper divisors (49359610800).

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

22000405200 is a wasteful number, since it uses less digits than its factorization.

22000405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 22000405200 its reverse (250400022), we get a palindrome (22250805222).

The spelling of 22000405200 in words is "twenty-two billion, four hundred five thousand, two hundred".