Base | Representation |
---|---|
bin | 1100111111001010000… |
… | …1001010000011110000 |
3 | 210022220001210112112100 |
4 | 3033302201022003300 |
5 | 12123413200012240 |
6 | 250255110500400 |
7 | 22055632434561 |
oct | 3176241120360 |
9 | 708801715470 |
10 | 223112110320 |
11 | 86691a73820 |
12 | 372a7964700 |
13 | 180686a20b8 |
14 | ab27834168 |
15 | 5c0c52be30 |
hex | 33f284a0f0 |
223112110320 has 240 divisors, whose sum is σ = 820425775104. Its totient is φ = 53887680000.
The previous prime is 223112110297. The next prime is 223112110373. The reversal of 223112110320 is 23011211322.
223112110320 is a `hidden beast` number, since 2 + 2 + 311 + 21 + 10 + 320 = 666.
223112110320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×2231121103203 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223112110293 and 223112110302.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094345 + ... + 2198295.
Almost surely, 2223112110320 is an apocalyptic number.
223112110320 is a gapful number since it is divisible by the number (20) 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 223112110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410212887552).
223112110320 is an abundant number, since it is smaller than the sum of its proper divisors (597313664784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223112110320 is a wasteful number, since it uses less digits than its factorization.
223112110320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104252 (or 104243 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 223112110320 its reverse (23011211322), we get a palindrome (246123321642).
The spelling of 223112110320 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred ten thousand, three hundred twenty".
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