11214224 has 40 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 4773888.

The previous prime is 11214221. The next prime is 11214241. The reversal of 11214224 is 42241211.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11214221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24752 + ... + 25200.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^11214224 is an apocalyptic number.

11214224 is a gapful number since it is divisible by the number (14) 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 11214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

11214224 is an abundant number, since it is smaller than the sum of its proper divisors (13784176).

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

11214224 is a wasteful number, since it uses less digits than its factorization.

11214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 11214224 is about 3348.7645483073. The cubic root of 11214224 is about 223.8324640120.

Adding to 11214224 its reverse (42241211), we get a palindrome (53455435).

The spelling of 11214224 in words is "eleven million, two hundred fourteen thousand, two hundred twenty-four".