Base | Representation |
---|---|
bin | 11010100110100… |
… | …11101110000000 |
3 | 120112220222020221 |
4 | 31103103232000 |
5 | 424112242222 |
6 | 34051112424 |
7 | 5346605506 |
oct | 1523235600 |
9 | 515828227 |
10 | 223165312 |
11 | 104a75447 |
12 | 628a2714 |
13 | 373083a6 |
14 | 218d2676 |
15 | 148d30c7 |
hex | d4d3b80 |
223165312 has 32 divisors (see below), whose sum is σ = 448014600. Its totient is φ = 110722560.
The previous prime is 223165301. The next prime is 223165333. The reversal of 223165312 is 213561322.
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-3 number, since 3×2231653123 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10114 + ... + 23422.
Almost surely, 2223165312 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 223165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224007300).
223165312 is an abundant number, since it is smaller than the sum of its proper divisors (224849288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223165312 is a wasteful number, since it uses less digits than its factorization.
223165312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13454 (or 13442 counting only the distinct ones).
The product of its digits is 2160, while the sum is 25.
The square root of 223165312 is about 14938.7185528077. The cubic root of 223165312 is about 606.5625089200.
The spelling of 223165312 in words is "two hundred twenty-three million, one hundred sixty-five thousand, three hundred twelve".
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