11224180 has 48 divisors (see below), whose sum is σ = 25953984. Its totient is φ = 4043520.

The previous prime is 11224163. The next prime is 11224223. The reversal of 11224180 is 8142211.

It is a happy number.

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, 35704 + ... + 36016.

It is an arithmetic number, because the mean of its divisors is an integer number (540708).

Almost surely, 2^11224180 is an apocalyptic number.

11224180 is a gapful number since it is divisible by the number (10) 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 11224180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976992).

11224180 is an abundant number, since it is smaller than the sum of its proper divisors (14729804).

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

11224180 is a wasteful number, since it uses less digits than its factorization.

11224180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11224180 is about 3350.2507368852. The cubic root of 11224180 is about 223.8986839857.

Adding to 11224180 its reverse (8142211), we get a palindrome (19366391).

The spelling of 11224180 in words is "eleven million, two hundred twenty-four thousand, one hundred eighty".