22144122 has 96 divisors (see below), whose sum is σ = 64471680. Its totient is φ = 5304960.

The previous prime is 22144117. The next prime is 22144169.

22144122 is a `hidden beast` number, since 221 + 441 + 2 + 2 = 666.

22144122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22144095 and 22144104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17404 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 2^22144122 is an apocalyptic number.

22144122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235840).

22144122 is an abundant number, since it is smaller than the sum of its proper divisors (42327558).

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

22144122 is a wasteful number, since it uses less digits than its factorization.

22144122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1265 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22144122 is about 4705.7541372239. The cubic root of 22144122 is about 280.8144737712.

It can be divided in two parts, 2214 and 4122, that added together give a palindrome (6336).

The spelling of 22144122 in words is "twenty-two million, one hundred forty-four thousand, one hundred twenty-two".