| Base | Representation |
|---|---|
| bin | 1010010011111100… |
| … | …1010101010010000 |
| 3 | 21010220112002120021 |
| 4 | 2210333022222100 |
| 5 | 21132103202120 |
| 6 | 1134400153224 |
| 7 | 125410541311 |
| oct | 24477125220 |
| 9 | 7126462507 |
| 10 | 2768022160 |
| 11 | 11a0527022 |
| 12 | 653008814 |
| 13 | 351611c47 |
| 14 | 1c389c608 |
| 15 | 11301eaaa |
| hex | a4fcaa90 |
2768022160 has 80 divisors (see below), whose sum is σ = 6724056240. Its totient is φ = 1058355200.
The previous prime is 2768022139. The next prime is 2768022181. The reversal of 2768022160 is 612208672.
It is an interprime number because it is at equal distance from previous prime (2768022139) and next prime (2768022181).
It can be written as a sum of positive squares in 8 ways, for example, as 88510464 + 2679511696 = 9408^2 + 51764^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228414 + ... + 240226.
It is an arithmetic number, because the mean of its divisors is an integer number (84050703).
Almost surely, 22768022160 is an apocalyptic number.
2768022160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2768022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362028120).
2768022160 is an abundant number, since it is smaller than the sum of its proper divisors (3956034080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2768022160 is a wasteful number, since it uses less digits than its factorization.
2768022160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11956 (or 11950 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 34.
The square root of 2768022160 is about 52611.9963506423. The cubic root of 2768022160 is about 1404.0735372180.
The spelling of 2768022160 in words is "two billion, seven hundred sixty-eight million, twenty-two thousand, one hundred sixty".
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