22033012320 has 288 divisors, whose sum is σ = 82621244160. Its totient is φ = 5302379520.

The previous prime is 22033012291. The next prime is 22033012343. The reversal of 22033012320 is 2321033022.

It is a happy number.

22033012320 is a `hidden beast` number, since 2 + 2 + 0 + 330 + 12 + 320 = 666.

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

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 = 22033012293 and 22033012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196757 + ... + 2206763.

It is an arithmetic number, because the mean of its divisors is an integer number (286879320).

Almost surely, 2^22033012320 is an apocalyptic number.

22033012320 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 22033012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310622080).

22033012320 is an abundant number, since it is smaller than the sum of its proper divisors (60588231840).

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

22033012320 is a wasteful number, since it uses less digits than its factorization.

22033012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178 (or 10167 counting only the distinct ones).

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

Adding to 22033012320 its reverse (2321033022), we get a palindrome (24354045342).

The spelling of 22033012320 in words is "twenty-two billion, thirty-three million, twelve thousand, three hundred twenty".