11224224 has 96 divisors (see below), whose sum is σ = 35743680. Its totient is φ = 3398400.

The previous prime is 11224223. The next prime is 11224229. The reversal of 11224224 is 42242211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 11224197 and 11224206.

It is not an unprimeable number, because it can be changed into a prime (11224223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8914 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (372330).

Almost surely, 2^11224224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871840).

11224224 is an abundant number, since it is smaller than the sum of its proper divisors (24519456).

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

11224224 is a wasteful number, since it uses less digits than its factorization.

11224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 11224224 is about 3350.2573035515. The cubic root of 11224224 is about 223.8989765544.

Adding to 11224224 its reverse (42242211), we get a palindrome (53466435).

It can be divided in two parts, 112 and 24224, that added together give a square (24336 = 156²).

The spelling of 11224224 in words is "eleven million, two hundred twenty-four thousand, two hundred twenty-four".