22313032320 has 128 divisors (see below), whose sum is σ = 74215232640. Its totient is φ = 5691428864.

The previous prime is 22313032307. The next prime is 22313032363. The reversal of 22313032320 is 2323031322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22313032320³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 208479 + ... + 296798.

It is an arithmetic number, because the mean of its divisors is an integer number (579806505).

Almost surely, 2^22313032320 is an apocalyptic number.

22313032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313032320 is an abundant number, since it is smaller than the sum of its proper divisors (51902200320).

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

22313032320 is a wasteful number, since it uses less digits than its factorization.

22313032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505322 (or 505310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22313032320 its reverse (2323031322), we get a palindrome (24636063642).

The spelling of 22313032320 in words is "twenty-two billion, three hundred thirteen million, thirty-two thousand, three hundred twenty".