22114820 has 96 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6741504.

The previous prime is 22114819. The next prime is 22114823. The reversal of 22114820 is 2841122.

It is a happy number.

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 = 22114792 and 22114801.

It is not an unprimeable number, because it can be changed into a prime (22114823) 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, 52571 + ... + 52989.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^22114820 is an apocalyptic number.

22114820 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 22114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

22114820 is an abundant number, since it is smaller than the sum of its proper divisors (37155580).

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

22114820 is a wasteful number, since it uses less digits than its factorization.

22114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 22114820 is about 4702.6396842624. The cubic root of 22114820 is about 280.6905573992.

Adding to 22114820 its reverse (2841122), we get a palindrome (24955942).

The spelling of 22114820 in words is "twenty-two million, one hundred fourteen thousand, eight hundred twenty".