22820512 has 48 divisors (see below), whose sum is σ = 52792992. Its totient is φ = 9573120.

The previous prime is 22820507. The next prime is 22820519. The reversal of 22820512 is 21502822.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22820519) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2083 + ... + 7069.

It is an arithmetic number, because the mean of its divisors is an integer number (1099854).

Almost surely, 2^22820512 is an apocalyptic number.

22820512 is a gapful number since it is divisible by the number (22) 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 22820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396496).

22820512 is an abundant number, since it is smaller than the sum of its proper divisors (29972480).

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

22820512 is a wasteful number, since it uses less digits than its factorization.

22820512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 22820512 is about 4777.0819544990. The cubic root of 22820512 is about 283.6449971472.

It can be divided in two parts, 22820 and 512, that added together give a palindrome (23332).

The spelling of 22820512 in words is "twenty-two million, eight hundred twenty thousand, five hundred twelve".