22822160 has 80 divisors (see below), whose sum is σ = 57090096. Its totient is φ = 8454144.

The previous prime is 22822153. The next prime is 22822183. The reversal of 22822160 is 6122822.

It can be written as a sum of positive squares in 8 ways, for example, as 1882384 + 20939776 = 1372^2 + 4576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 131834 + ... + 132006.

Almost surely, 2^22822160 is an apocalyptic number.

22822160 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 22822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545048).

22822160 is an abundant number, since it is smaller than the sum of its proper divisors (34267936).

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

22822160 is a wasteful number, since it uses less digits than its factorization.

22822160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 22822160 is about 4777.2544416223. The cubic root of 22822160 is about 283.6518248600.

Adding to 22822160 its reverse (6122822), we get a palindrome (28944982).

The spelling of 22822160 in words is "twenty-two million, eight hundred twenty-two thousand, one hundred sixty".