22102200320 has 104 divisors (see below), whose sum is σ = 53530806120. Its totient is φ = 8758886400.

The previous prime is 22102200317. The next prime is 22102200343. The reversal of 22102200320 is 2300220122.

It can be written as a sum of positive squares in 4 ways, for example, as 9500790784 + 12601409536 = 97472^2 + 112256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22102200295 and 22102200304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2227370 + ... + 2237270.

Almost surely, 2^22102200320 is an apocalyptic number.

22102200320 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 22102200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26765403060).

22102200320 is an abundant number, since it is smaller than the sum of its proper divisors (31428605800).

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

22102200320 is an equidigital number, since it uses as much as digits as its factorization.

22102200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22102200320 its reverse (2300220122), we get a palindrome (24402420442).

The spelling of 22102200320 in words is "twenty-two billion, one hundred two million, two hundred thousand, three hundred twenty".