11224248 has 64 divisors (see below), whose sum is σ = 32555520. Its totient is φ = 3158400.

The previous prime is 11224243. The next prime is 11224249. The reversal of 11224248 is 84242211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (1024) is a multiple of the sum of its prime divisors (1024).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224243) 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 15 ways as a sum of consecutive naturals, for example, 11458 + ... + 12398.

It is an arithmetic number, because the mean of its divisors is an integer number (508680).

Almost surely, 2^11224248 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 11224248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277760).

11224248 is an abundant number, since it is smaller than the sum of its proper divisors (21331272).

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

11224248 is a wasteful number, since it uses less digits than its factorization.

11224248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 11224248 is about 3350.2608853640. The cubic root of 11224248 is about 223.8991361369.

Adding to 11224248 its reverse (84242211), we get a palindrome (95466459).

The spelling of 11224248 in words is "eleven million, two hundred twenty-four thousand, two hundred forty-eight".