Base | Representation |
---|---|
bin | 1000011101001111… |
… | …1010011010100000 |
3 | 12212012200021100100 |
4 | 2013103322122200 |
5 | 14122124103120 |
6 | 1013133022400 |
7 | 110153623044 |
oct | 20723723240 |
9 | 5765607310 |
10 | 2270144160 |
11 | a654899a9 |
12 | 534324a00 |
13 | 2a242098b |
14 | 1776da024 |
15 | d4475490 |
hex | 874fa6a0 |
2270144160 has 144 divisors (see below), whose sum is σ = 8083805184. Its totient is φ = 579042816.
The previous prime is 2270144153. The next prime is 2270144161. The reversal of 2270144160 is 614410722.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (2270144161) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152 + ... + 67391.
It is an arithmetic number, because the mean of its divisors is an integer number (56137536).
Almost surely, 22270144160 is an apocalyptic number.
2270144160 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 2270144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041902592).
2270144160 is an abundant number, since it is smaller than the sum of its proper divisors (5813661024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2270144160 is a wasteful number, since it uses less digits than its factorization.
2270144160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68587 (or 68576 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 2270144160 is about 47646.0298450983. The cubic root of 2270144160 is about 1314.2696499072.
Adding to 2270144160 its reverse (614410722), we get a palindrome (2884554882).
The spelling of 2270144160 in words is "two billion, two hundred seventy million, one hundred forty-four thousand, one hundred sixty".
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