Base | Representation |
---|---|
bin | 1000001010000111… |
… | …0111000010100000 |
3 | 12122121201011122000 |
4 | 2002201313002200 |
5 | 13441104224042 |
6 | 1001145244000 |
7 | 105160651500 |
oct | 20241670240 |
9 | 5577634560 |
10 | 2189914272 |
11 | a24171007 |
12 | 511493600 |
13 | 28b90ca80 |
14 | 16abb3a00 |
15 | cc3c874c |
hex | 828770a0 |
2189914272 has 576 divisors, whose sum is σ = 8397768960. Its totient is φ = 549255168.
The previous prime is 2189914271. The next prime is 2189914289. The reversal of 2189914272 is 2724199812.
2189914272 is a `hidden beast` number, since 218 + 9 + 9 + 1 + 427 + 2 = 666.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2189914271) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12658378 + ... + 12658550.
It is an arithmetic number, because the mean of its divisors is an integer number (14579460).
Almost surely, 22189914272 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 2189914272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198884480).
2189914272 is an abundant number, since it is smaller than the sum of its proper divisors (6207854688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2189914272 is a wasteful number, since it uses less digits than its factorization.
2189914272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 221 counting only the distinct ones).
The product of its digits is 145152, while the sum is 45.
The square root of 2189914272 is about 46796.5198706058. The cubic root of 2189914272 is about 1298.6009153315.
The spelling of 2189914272 in words is "two billion, one hundred eighty-nine million, nine hundred fourteen thousand, two hundred seventy-two".
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