22005032420 has 96 divisors (see below), whose sum is σ = 56390197248. Its totient is φ = 7048685952.

The previous prime is 22005032417. The next prime is 22005032429. The reversal of 22005032420 is 2423050022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22005032392 and 22005032401.

It is not an unprimeable number, because it can be changed into a prime (22005032429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58997 + ... + 217923.

It is an arithmetic number, because the mean of its divisors is an integer number (587397888).

Almost surely, 2^22005032420 is an apocalyptic number.

22005032420 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 22005032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195098624).

22005032420 is an abundant number, since it is smaller than the sum of its proper divisors (34385164828).

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

22005032420 is a wasteful number, since it uses less digits than its factorization.

22005032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159009 (or 159007 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 22005032420 its reverse (2423050022), we get a palindrome (24428082442).

The spelling of 22005032420 in words is "twenty-two billion, five million, thirty-two thousand, four hundred twenty".