11224 has 16 divisors (see below), whose sum is σ = 22320. Its totient is φ = 5280.

The previous prime is 11213. The next prime is 11239. The reversal of 11224 is 42211.

11224 = T₈₅ + T₈₆ + T₈₇.

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

11224 is an undulating number in base 11.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2¹¹²²⁴ is an apocalyptic number.

11224 is the 87-th centered triangular number.

It is an amenable number.

11224 is a deficient number, since it is larger than the sum of its proper divisors (11096).

11224 is a wasteful number, since it uses less digits than its factorization.

11224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 11224 is about 105.9433811052. The cubic root of 11224 is about 22.3897487106.

Adding to 11224 its reverse (42211), we get a palindrome (53435).

It can be divided in two parts, 112 and 24, that added together give a triangular number (136 = T₁₆).

The spelling of 11224 in words is "eleven thousand, two hundred twenty-four", and thus it is an iban number.