11225232 has 60 divisors (see below), whose sum is σ = 31699980. Its totient is φ = 3707904.

The previous prime is 11225191. The next prime is 11225237. The reversal of 11225232 is 23252211.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 7160976 = 2016^2 + 2676^2 .

It is a super-3 number, since 3×11225232³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11225237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19444 + ... + 20012.

It is an arithmetic number, because the mean of its divisors is an integer number (528333).

Almost surely, 2^11225232 is an apocalyptic number.

11225232 is a gapful number since it is divisible by the number (12) 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 11225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849990).

11225232 is an abundant number, since it is smaller than the sum of its proper divisors (20474748).

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

11225232 is a wasteful number, since it uses less digits than its factorization.

11225232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 711 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 11225232 is about 3350.4077363808. The cubic root of 11225232 is about 223.9056788265.

Adding to 11225232 its reverse (23252211), we get a palindrome (34477443).

The spelling of 11225232 in words is "eleven million, two hundred twenty-five thousand, two hundred thirty-two".