| Base | Representation |
|---|---|
| bin | 1000011010111011… |
| … | …1001101110010000 |
| 3 | 12211112102100111002 |
| 4 | 2012232321232100 |
| 5 | 14112133121000 |
| 6 | 1012145041132 |
| 7 | 110005303625 |
| oct | 20656715620 |
| 9 | 5745370432 |
| 10 | 2260442000 |
| 11 | a5aa62593 |
| 12 | 5310261a8 |
| 13 | 2a040485b |
| 14 | 1762d234c |
| 15 | d36aa8d5 |
| hex | 86bb9b90 |
2260442000 has 80 divisors (see below), whose sum is σ = 5516425200. Its totient is φ = 895795200.
The previous prime is 2260441993. The next prime is 2260442011. The reversal of 2260442000 is 2440622.
2260442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1115025664 + 1145416336 = 33392^2 + 33844^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
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, 212816 + ... + 223184.
It is an arithmetic number, because the mean of its divisors is an integer number (68955315).
Almost surely, 22260442000 is an apocalyptic number.
2260442000 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 2260442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758212600).
2260442000 is an abundant number, since it is smaller than the sum of its proper divisors (3255983200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2260442000 is a wasteful number, since it uses less digits than its factorization.
2260442000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10501 (or 10485 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 2260442000 is about 47544.1058386841. The cubic root of 2260442000 is about 1312.3946642600.
Adding to 2260442000 its reverse (2440622), we get a palindrome (2262882622).
The spelling of 2260442000 in words is "two billion, two hundred sixty million, four hundred forty-two thousand".
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