22180 has 12 divisors (see below), whose sum is σ = 46620. Its totient is φ = 8864.
The previous prime is 22171. The next prime is 22189. The reversal of 22180 is 8122.
It is an interprime number because it is at equal distance from previous prime (22171) and next prime (22189).
It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 19044 = 56^2 + 138^2 .
It is a plaindrome in base 15.
It is a self number, because there is not a number n which added to its sum of digits gives 22180.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22189) by changing a digit.
22180 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 (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535 + ... + 574.
It is an arithmetic number, because the mean of its divisors is an integer number (3885).
222180 is an apocalyptic number.
22180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22180 is an abundant number, since it is smaller than the sum of its proper divisors (24440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23310).
22180 is a wasteful number, since it uses less digits than its factorization.
22180 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 22180 is about 148.9295135291. The cubic root of 22180 is about 28.0966050871.
It can be divided in two parts, 22 and 180, that added together give a palindrome (202).
The spelling of 22180 in words is "twenty-two thousand, one hundred eighty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •