22232312320 has 80 divisors (see below), whose sum is σ = 54605833128. Its totient is φ = 8675983360.

The previous prime is 22232312273. The next prime is 22232312321. The reversal of 22232312320 is 2321323222.

It can be written as a sum of positive squares in 4 ways, for example, as 11847887104 + 10384425216 = 108848^2 + 101904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22232312320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22232312291 and 22232312300.

It is not an unprimeable number, because it can be changed into a prime (22232312321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 210868.

Almost surely, 2^22232312320 is an apocalyptic number.

22232312320 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 22232312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302916564).

22232312320 is an abundant number, since it is smaller than the sum of its proper divisors (32373520808).

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

22232312320 is an equidigital number, since it uses as much as digits as its factorization.

22232312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211881 (or 211865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22232312320 its reverse (2321323222), we get a palindrome (24553635542).

The spelling of 22232312320 in words is "twenty-two billion, two hundred thirty-two million, three hundred twelve thousand, three hundred twenty".