11224000 has 112 divisors (see below), whose sum is σ = 29480256. Its totient is φ = 4224000.

The previous prime is 11223997. The next prime is 11224001. The reversal of 11224000 is 42211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224001) 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, 183970 + ... + 184030.

Almost surely, 2^11224000 is an apocalyptic number.

11224000 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 11224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

11224000 is an abundant number, since it is smaller than the sum of its proper divisors (18256256).

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

11224000 is an equidigital number, since it uses as much as digits as its factorization.

11224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

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

The square root of 11224000 is about 3350.2238731165. The cubic root of 11224000 is about 223.8974871061.

Adding to 11224000 its reverse (42211), we get a palindrome (11266211).

The spelling of 11224000 in words is "eleven million, two hundred twenty-four thousand".