Search a number
22144 = 27173

22144 has 16 divisors (see below), whose sum is σ = 44370. Its totient is φ = 11008.

The previous prime is 22133. The next prime is 22147. The reversal of 22144 is 44122.

Adding to 22144 its reverse (44122), we get a palindrome (66266).

22144 = T120 + T121 + T122.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 7744 = 120^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 9.

It is a nialpdrome in base 8.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22147) by changing a digit.

22144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42 + ... + 214.

222144 is an apocalyptic number.

22144 is the 122-nd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185).

22144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

22144 is an equidigital number, since it uses as much as digits as its factorization.

22144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 64, while the sum is 13.

The square root of 22144 is about 148.8086019019. The cubic root of 22144 is about 28.0813958067.

The spelling of 22144 in words is "twenty-two thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144