Base | Representation |
---|---|
bin | 11010100110110… |
… | …11010110000000 |
3 | 120112222120002200 |
4 | 31103123112000 |
5 | 424114242134 |
6 | 34051513200 |
7 | 5350065534 |
oct | 1523332600 |
9 | 515876080 |
10 | 223196544 |
11 | 104a9695a |
12 | 628b8800 |
13 | 3731967c |
14 | 218ddbc4 |
15 | 148dc499 |
hex | d4db580 |
223196544 has 96 divisors (see below), whose sum is σ = 645364200. Its totient is φ = 74041344.
The previous prime is 223196539. The next prime is 223196581. The reversal of 223196544 is 445691322.
It is a happy number.
223196544 is a `hidden beast` number, since 2 + 23 + 1 + 96 + 544 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×2231965443 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 223196499 and 223196508.
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 11 ways as a sum of consecutive naturals, for example, 360267 + ... + 360885.
Almost surely, 2223196544 is an apocalyptic number.
223196544 is a gapful number since it is divisible by the number (24) 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 223196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322682100).
223196544 is an abundant number, since it is smaller than the sum of its proper divisors (422167656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223196544 is a wasteful number, since it uses less digits than its factorization.
223196544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 952 (or 937 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 223196544 is about 14939.7638535554. The cubic root of 223196544 is about 606.5908037543.
The spelling of 223196544 in words is "two hundred twenty-three million, one hundred ninety-six thousand, five hundred forty-four".
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