| Base | Representation |
|---|---|
| bin | 1000011011001011… |
| … | …0111001101000000 |
| 3 | 12211121101002201000 |
| 4 | 2012302313031000 |
| 5 | 14112414332011 |
| 6 | 1012223212000 |
| 7 | 110020156620 |
| oct | 20662671500 |
| 9 | 5747332630 |
| 10 | 2261480256 |
| 11 | a60601652 |
| 12 | 531447000 |
| 13 | 2a06a92c9 |
| 14 | 1764c2880 |
| 15 | d3813356 |
| hex | 86cb7340 |
2261480256 has 448 divisors, whose sum is σ = 8104591360. Its totient is φ = 604661760.
The previous prime is 2261480251. The next prime is 2261480321. The reversal of 2261480256 is 6520841622.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-2 number, since 2×22614802562 = 10228585896555651072, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2261480256 = 4863 + 12903 = 7203 + 12363.
It is a self number, because there is not a number n which added to its sum of digits gives 2261480256.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2261480251) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13874031 + ... + 13874193.
Almost surely, 22261480256 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 2261480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052295680).
2261480256 is an abundant number, since it is smaller than the sum of its proper divisors (5843111104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2261480256 is a wasteful number, since it uses less digits than its factorization.
2261480256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 259 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 2261480256 is about 47555.0234570439. The cubic root of 2261480256 is about 1312.5955678983.
The spelling of 2261480256 in words is "two billion, two hundred sixty-one million, four hundred eighty thousand, two hundred fifty-six".
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