22283838720 has 1008 divisors, whose sum is σ = 94582518912. Its totient is φ = 4956733440.

The previous prime is 22283838649. The next prime is 22283838737. The reversal of 22283838720 is 2783838222.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 133436077 + ... + 133436243.

It is an arithmetic number, because the mean of its divisors is an integer number (93831864).

Almost surely, 2^22283838720 is an apocalyptic number.

22283838720 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 22283838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47291259456).

22283838720 is an abundant number, since it is smaller than the sum of its proper divisors (72298680192).

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

22283838720 is a wasteful number, since it uses less digits than its factorization.

22283838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22283838720 in words is "twenty-two billion, two hundred eighty-three million, eight hundred thirty-eight thousand, seven hundred twenty".