| Base | Representation |
|---|---|
| bin | 11001010110011… |
| … | …10010001101000 |
| 3 | 112211011002220200 |
| 4 | 30223032101220 |
| 5 | 413420013011 |
| 6 | 33033552200 |
| 7 | 5161362000 |
| oct | 1453162150 |
| 9 | 484132820 |
| 10 | 212657256 |
| 11 | aa0485a9 |
| 12 | 5b275660 |
| 13 | 350994c6 |
| 14 | 20359000 |
| 15 | 13a09856 |
| hex | cace468 |
212657256 has 192 divisors, whose sum is σ = 686400000. Its totient is φ = 59439744.
The previous prime is 212657251. The next prime is 212657321. The reversal of 212657256 is 652756212.
212657256 is digitally balanced in base 3, 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).
Its product of digits (50400) is a multiple of the sum of its prime divisors (200).
It is a self number, because there is not a number n which added to its sum of digits gives 212657256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212657251) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 1950930 + ... + 1951038.
It is an arithmetic number, because the mean of its divisors is an integer number (3575000).
Almost surely, 2212657256 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 212657256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343200000).
212657256 is an abundant number, since it is smaller than the sum of its proper divisors (473742744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212657256 is a wasteful number, since it uses less digits than its factorization.
212657256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221 (or 200 counting only the distinct ones).
The product of its digits is 50400, while the sum is 36.
The square root of 212657256 is about 14582.7725758856. The cubic root of 212657256 is about 596.8887615441. Note that the first 3 decimals are identical.
The spelling of 212657256 in words is "two hundred twelve million, six hundred fifty-seven thousand, two hundred fifty-six".
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