22032164000 has 432 divisors, whose sum is σ = 69290643240. Its totient is φ = 6859776000.

The previous prime is 22032163987. The next prime is 22032164017. The reversal of 22032164000 is 46123022.

It can be written as a sum of positive squares in 4 ways, for example, as 1343369104 + 20688794896 = 36652^2 + 143836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 71 ways as a sum of consecutive naturals, for example, 23715536 + ... + 23716464.

Almost surely, 2^22032164000 is an apocalyptic number.

22032164000 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 22032164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645321620).

22032164000 is an abundant number, since it is smaller than the sum of its proper divisors (47258479240).

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

22032164000 is a wasteful number, since it uses less digits than its factorization.

22032164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22032164000 its reverse (46123022), we get a palindrome (22078287022).

The spelling of 22032164000 in words is "twenty-two billion, thirty-two million, one hundred sixty-four thousand".