| Base | Representation |
|---|---|
| bin | 1000011011000110… |
| … | …0011010000000000 |
| 3 | 12211120201122000000 |
| 4 | 2012301203100000 |
| 5 | 14112322331014 |
| 6 | 1012212000000 |
| 7 | 110014225233 |
| oct | 20661432000 |
| 9 | 5746648000 |
| 10 | 2261136384 |
| 11 | a60397261 |
| 12 | 531300000 |
| 13 | 2a05b8930 |
| 14 | 17643341a |
| 15 | d3796509 |
| hex | 86c63400 |
2261136384 has 308 divisors, whose sum is σ = 7329627396. Its totient is φ = 692748288.
The previous prime is 2261136379. The next prime is 2261136407. The reversal of 2261136384 is 4836311622.
2261136384 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 13 + 638 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 394896384 + 1866240000 = 19872^2 + 43200^2 .
It is a super-2 number, since 2×22611363842 = 10225475494097190912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9704332 + ... + 9704564.
Almost surely, 22261136384 is an apocalyptic number.
2261136384 is a gapful number since it is divisible by the number (24) 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 2261136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664813698).
2261136384 is an abundant number, since it is smaller than the sum of its proper divisors (5068491012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2261136384 is an equidigital number, since it uses as much as digits as its factorization.
2261136384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 284 (or 251 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 2261136384 is about 47551.4078025036. The cubic root of 2261136384 is about 1312.5290351128.
The spelling of 2261136384 in words is "two billion, two hundred sixty-one million, one hundred thirty-six thousand, three hundred eighty-four".
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