Base | Representation |
---|---|
bin | 1000011011010101… |
… | …1001001101000000 |
3 | 12211122121210221000 |
4 | 2012311121031000 |
5 | 14113102100213 |
6 | 1012245332000 |
7 | 110025622311 |
oct | 20665311500 |
9 | 5748553830 |
10 | 2262143808 |
11 | a60a15141 |
12 | 531707000 |
13 | 2a087c342 |
14 | 176616608 |
15 | d38e4c73 |
hex | 86d59340 |
2262143808 has 112 divisors (see below), whose sum is σ = 6662033920. Its totient is φ = 752716800.
The previous prime is 2262143801. The next prime is 2262143809. The reversal of 2262143808 is 8083412622.
2262143808 is a `hidden beast` number, since 2 + 262 + 14 + 380 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2262143801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711788 + ... + 1713108.
Almost surely, 22262143808 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 2262143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331016960).
2262143808 is an abundant number, since it is smaller than the sum of its proper divisors (4399890112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2262143808 is a wasteful number, since it uses less digits than its factorization.
2262143808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2333 (or 2317 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 2262143808 is about 47561.9996215466. Note that the first 3 decimals coincide. The cubic root of 2262143808 is about 1312.7239337095.
Adding to 2262143808 its sum of digits (36), we get a square (2262143844 = 475622).
It can be divided in two parts, 2262 and 143808, that added together give a triangular number (146070 = T540).
The spelling of 2262143808 in words is "two billion, two hundred sixty-two million, one hundred forty-three thousand, eight hundred eight".
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