Base | Representation |
---|---|
bin | 100111000001… |
… | …001001000000 |
3 | 201020122120111 |
4 | 213001021000 |
5 | 10104301123 |
6 | 1003121104 |
7 | 152640040 |
oct | 47011100 |
9 | 21218514 |
10 | 10228288 |
11 | 5856734 |
12 | 3513194 |
13 | 2171755 |
14 | 1503720 |
15 | d7090d |
hex | 9c1240 |
10228288 has 84 divisors (see below), whose sum is σ = 24952960. Its totient is φ = 4073472.
The previous prime is 10228277. The next prime is 10228301. The reversal of 10228288 is 88282201.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129433 + ... + 129511.
Almost surely, 210228288 is an apocalyptic number.
10228288 is the 2023-rd heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476480).
10228288 is an abundant number, since it is smaller than the sum of its proper divisors (14724672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10228288 is an equidigital number, since it uses as much as digits as its factorization.
10228288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 105 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 31.
The square root of 10228288 is about 3198.1694764349. The cubic root of 10228288 is about 217.0705880066.
The spelling of 10228288 in words is "ten million, two hundred twenty-eight thousand, two hundred eighty-eight".
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