Base | Representation |
---|---|
bin | 11010100110111… |
… | …01101111000000 |
3 | 120120000001112100 |
4 | 31103131233000 |
5 | 424120100321 |
6 | 34052030400 |
7 | 5350136223 |
oct | 1523355700 |
9 | 516001470 |
10 | 223206336 |
11 | 104aa3251 |
12 | 62902400 |
13 | 37320c72 |
14 | 219035ba |
15 | 148e0326 |
hex | d4ddbc0 |
223206336 has 84 divisors (see below), whose sum is σ = 641908800. Its totient is φ = 74155008.
The previous prime is 223206331. The next prime is 223206353. The reversal of 223206336 is 633602322.
223206336 is a `hidden beast` number, since 2 + 2 + 3 + 20 + 633 + 6 = 666.
It is a super-3 number, since 3×2232063363 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223206331) 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, 275500 + ... + 276308.
Almost surely, 2223206336 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 223206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320954400).
223206336 is an abundant number, since it is smaller than the sum of its proper divisors (418702464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223206336 is a wasteful number, since it uses less digits than its factorization.
223206336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1306 (or 1293 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
The square root of 223206336 is about 14940.0915659845. The cubic root of 223206336 is about 606.5996743371.
Adding to 223206336 its reverse (633602322), we get a palindrome (856808658).
The spelling of 223206336 in words is "two hundred twenty-three million, two hundred six thousand, three hundred thirty-six".
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