22321300320 has 288 divisors, whose sum is σ = 87470772480. Its totient is φ = 5126353920.

The previous prime is 22321300297. The next prime is 22321300333. The reversal of 22321300320 is 2300312322.

It is a happy number.

22321300320 is a `hidden beast` number, since 2 + 23 + 21 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22321300320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22321300293 and 22321300302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263877 + ... + 338043.

It is an arithmetic number, because the mean of its divisors is an integer number (303717960).

Almost surely, 2^22321300320 is an apocalyptic number.

22321300320 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 22321300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43735386240).

22321300320 is an abundant number, since it is smaller than the sum of its proper divisors (65149472160).

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

22321300320 is a wasteful number, since it uses less digits than its factorization.

22321300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74218 (or 74207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22321300320 its reverse (2300312322), we get a palindrome (24621612642).

The spelling of 22321300320 in words is "twenty-two billion, three hundred twenty-one million, three hundred thousand, three hundred twenty".