Base | Representation |
---|---|
bin | 1000100000111000… |
… | …1000010111100100 |
3 | 12220021101122012101 |
4 | 2020032020113210 |
5 | 14140030440133 |
6 | 1014440101444 |
7 | 110430425200 |
oct | 21016102744 |
9 | 5807348171 |
10 | 2285405668 |
11 | a73063117 |
12 | 539464884 |
13 | 2a5635360 |
14 | 17974db00 |
15 | d598c37d |
hex | 883885e4 |
2285405668 has 144 divisors (see below), whose sum is σ = 5242572720. Its totient is φ = 862977024.
The previous prime is 2285405621. The next prime is 2285405669. The reversal of 2285405668 is 8665045822.
It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 2283119524 = 1512^2 + 47782^2 .
It is not an unprimeable number, because it can be changed into a prime (2285405669) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11600946 + ... + 11601142.
It is an arithmetic number, because the mean of its divisors is an integer number (36406755).
Almost surely, 22285405668 is an apocalyptic number.
2285405668 is a gapful number since it is divisible by the number (28) 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 2285405668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621286360).
2285405668 is an abundant number, since it is smaller than the sum of its proper divisors (2957167052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2285405668 is a wasteful number, since it uses less digits than its factorization.
2285405668 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 414 (or 405 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 46.
The square root of 2285405668 is about 47805.9166631077. The cubic root of 2285405668 is about 1317.2082234186.
The spelling of 2285405668 in words is "two billion, two hundred eighty-five million, four hundred five thousand, six hundred sixty-eight".
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