11256224 has 48 divisors (see below), whose sum is σ = 26159616. Its totient is φ = 4665600.

The previous prime is 11256221. The next prime is 11256247. The reversal of 11256224 is 42265211.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11256224.

It is not an unprimeable number, because it can be changed into a prime (11256221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6134 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (544992).

Almost surely, 2^11256224 is an apocalyptic number.

11256224 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 11256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079808).

11256224 is an abundant number, since it is smaller than the sum of its proper divisors (14903392).

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

11256224 is a wasteful number, since it uses less digits than its factorization.

11256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 11256224 is about 3355.0296570969. The cubic root of 11256224 is about 224.1115515812. Note that the first 3 decimals are identical.

The spelling of 11256224 in words is "eleven million, two hundred fifty-six thousand, two hundred twenty-four".