Base | Representation |
---|---|
bin | 100111000000… |
… | …110000000000 |
3 | 201020120101020 |
4 | 213000300000 |
5 | 10104223223 |
6 | 1003105440 |
7 | 152632263 |
oct | 47006000 |
9 | 21216336 |
10 | 10226688 |
11 | 585550a |
12 | 3512280 |
13 | 2170ac4 |
14 | 1502cda |
15 | d701e3 |
hex | 9c0c00 |
10226688 has 44 divisors (see below), whose sum is σ = 27266040. Its totient is φ = 3407872.
The previous prime is 10226687. The next prime is 10226719. The reversal of 10226688 is 88662201.
It is not an unprimeable number, because it can be changed into a prime (10226687) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408 + ... + 4736.
Almost surely, 210226688 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 10226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633020).
10226688 is an abundant number, since it is smaller than the sum of its proper divisors (17039352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10226688 is an equidigital number, since it uses as much as digits as its factorization.
10226688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3352 (or 3334 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 33.
The square root of 10226688 is about 3197.9193235602. The cubic root of 10226688 is about 217.0592687108.
Adding to 10226688 its reverse (88662201), we get a palindrome (98888889).
The spelling of 10226688 in words is "ten million, two hundred twenty-six thousand, six hundred eighty-eight".
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