Base | Representation |
---|---|
bin | 101011001110… |
… | …101010000000 |
3 | 210022201220000 |
4 | 223032222000 |
5 | 10400112344 |
6 | 1042520000 |
7 | 165215361 |
oct | 53165200 |
9 | 23281800 |
10 | 11332224 |
11 | 6440082 |
12 | 3966000 |
13 | 246a077 |
14 | 170db68 |
15 | edca69 |
hex | acea80 |
11332224 has 80 divisors (see below), whose sum is σ = 33755370. Its totient is φ = 3773952.
The previous prime is 11332213. The next prime is 11332231. The reversal of 11332224 is 42223311.
It can be written as a sum of positive squares in only one way, i.e., 6350400 + 4981824 = 2520^2 + 2232^2 .
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 11332197 and 11332206.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9822 + ... + 10914.
Almost surely, 211332224 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 11332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877685).
11332224 is an abundant number, since it is smaller than the sum of its proper divisors (22423146).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11332224 is an equidigital number, since it uses as much as digits as its factorization.
11332224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1119 (or 1098 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 11332224 is about 3366.3368815376. The cubic root of 11332224 is about 224.6148076066.
Adding to 11332224 its reverse (42223311), we get a palindrome (53555535).
The spelling of 11332224 in words is "eleven million, three hundred thirty-two thousand, two hundred twenty-four".
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