Base | Representation |
---|---|
bin | 1000100010001010… |
… | …0101100100000000 |
3 | 12220122111002010000 |
4 | 2020202211210000 |
5 | 14142414040003 |
6 | 1015151040000 |
7 | 110524131165 |
oct | 21042454400 |
9 | 5818432100 |
10 | 2290768128 |
11 | a76096000 |
12 | 53b210000 |
13 | 2a67920cc |
14 | 17a34806c |
15 | d619b1a3 |
hex | 888a5900 |
2290768128 has 360 divisors, whose sum is σ = 7603729056. Its totient is φ = 685808640.
The previous prime is 2290768093. The next prime is 2290768177. The reversal of 2290768128 is 8218670922.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27599575 + ... + 27599657.
Almost surely, 22290768128 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 2290768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801864528).
2290768128 is an abundant number, since it is smaller than the sum of its proper divisors (5312960928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2290768128 is an frugal number, since it uses more digits than its factorization.
2290768128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The square root of 2290768128 is about 47861.9695374104. The cubic root of 2290768128 is about 1318.2376481046.
The spelling of 2290768128 in words is "two billion, two hundred ninety million, seven hundred sixty-eight thousand, one hundred twenty-eight".
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