22022410320 has 240 divisors, whose sum is σ = 75422739600. Its totient is φ = 5757050880.

The previous prime is 22022410307. The next prime is 22022410339. The reversal of 22022410320 is 2301422022.

22022410320 is a `hidden beast` number, since 220 + 2 + 2 + 410 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2505202704 + 19517207616 = 50052^2 + 139704^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 22022410293 and 22022410302.

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 47 ways as a sum of consecutive naturals, for example, 17084236 + ... + 17085524.

It is an arithmetic number, because the mean of its divisors is an integer number (314261415).

Almost surely, 2^22022410320 is an apocalyptic number.

22022410320 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 22022410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711369800).

22022410320 is an abundant number, since it is smaller than the sum of its proper divisors (53400329280).

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

22022410320 is a wasteful number, since it uses less digits than its factorization.

22022410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22022410320 its reverse (2301422022), we get a palindrome (24323832342).

The spelling of 22022410320 in words is "twenty-two billion, twenty-two million, four hundred ten thousand, three hundred twenty".