22321000000 has 392 divisors, whose sum is σ = 63757152648. Its totient is φ = 7680000000.

The previous prime is 22320999973. The next prime is 22321000019. The reversal of 22321000000 is 12322.

It can be written as a sum of positive squares in 28 ways, for example, as 15761295936 + 6559704064 = 125544^2 + 80992^2 .

It is a super-3 number, since 3×22321000000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 55 ways as a sum of consecutive naturals, for example, 220999950 + ... + 221000050.

Almost surely, 2^22321000000 is an apocalyptic number.

22321000000 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 22321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878576324).

22321000000 is an abundant number, since it is smaller than the sum of its proper divisors (41436152648).

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

22321000000 is an equidigital number, since it uses as much as digits as its factorization.

22321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 22321000000 its reverse (12322), we get a palindrome (22321012322).

The spelling of 22321000000 in words is "twenty-two billion, three hundred twenty-one million", and thus it is an aban number.