Base | Representation |
---|---|
bin | 1000001001111100… |
… | …0000100101000000 |
3 | 12122120022012110000 |
4 | 2002133000211000 |
5 | 13440411320122 |
6 | 1001121240000 |
7 | 105151416552 |
oct | 20237004500 |
9 | 5576265400 |
10 | 2189166912 |
11 | a23800559 |
12 | 511193000 |
13 | 28b70a84a |
14 | 16aa5b4d2 |
15 | cc2cc0ac |
hex | 827c0940 |
2189166912 has 140 divisors (see below), whose sum is σ = 6529561236. Its totient is φ = 725207040.
The previous prime is 2189166829. The next prime is 2189166919. The reversal of 2189166912 is 2196619812.
It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 1082673216 = 33264^2 + 32904^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2189166919) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 895612 + ... + 898052.
Almost surely, 22189166912 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 2189166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264780618).
2189166912 is an abundant number, since it is smaller than the sum of its proper divisors (4340394324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2189166912 is a wasteful number, since it uses less digits than its factorization.
2189166912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2638 (or 2619 counting only the distinct ones).
The product of its digits is 93312, while the sum is 45.
The square root of 2189166912 is about 46788.5339800255. The cubic root of 2189166912 is about 1298.4531724392.
Subtracting 2189166912 from its reverse (2196619812), we obtain a square (7452900 = 27302).
The spelling of 2189166912 in words is "two billion, one hundred eighty-nine million, one hundred sixty-six thousand, nine hundred twelve".
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