| Base | Representation |
|---|---|
| bin | 1100111000011101011… |
| … | …1010100101011010000 |
| 3 | 210011020210000212210000 |
| 4 | 3032013113110223100 |
| 5 | 12111222434322011 |
| 6 | 245400451010000 |
| 7 | 21663243052110 |
| oct | 3160727245320 |
| 9 | 704223025700 |
| 10 | 221314370256 |
| 11 | 8594a213031 |
| 12 | 36a85899900 |
| 13 | 17b400c3895 |
| 14 | a9d6b89040 |
| 15 | 5b547bd356 |
| hex | 33875d4ad0 |
221314370256 has 400 divisors, whose sum is σ = 780400051200. Its totient is φ = 59107553280.
The previous prime is 221314370237. The next prime is 221314370293. The reversal of 221314370256 is 652073413122.
221314370256 is a `hidden beast` number, since 2 + 2 + 1 + 31 + 4 + 370 + 256 = 666.
221314370256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 221314370256.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22974561 + ... + 22984191.
It is an arithmetic number, because the mean of its divisors is an integer number (1951000128).
Almost surely, 2221314370256 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 221314370256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390200025600).
221314370256 is an abundant number, since it is smaller than the sum of its proper divisors (559085680944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221314370256 is a wasteful number, since it uses less digits than its factorization.
221314370256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9824 (or 9809 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
Adding to 221314370256 its reverse (652073413122), we get a palindrome (873387783378).
The spelling of 221314370256 in words is "two hundred twenty-one billion, three hundred fourteen million, three hundred seventy thousand, two hundred fifty-six".
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