Base | Representation |
---|---|
bin | 1000001010000000… |
… | …0000000000000000 |
3 | 12122120210101210100 |
4 | 2002200000000000 |
5 | 13440443123223 |
6 | 1001131002400 |
7 | 105153551121 |
oct | 20240000000 |
9 | 5576711710 |
10 | 2189426688 |
11 | a23968749 |
12 | 511299400 |
13 | 28b79bb67 |
14 | 16aac8048 |
15 | cc32e043 |
hex | 82800000 |
2189426688 has 144 divisors (see below), whose sum is σ = 6543113850. Its totient is φ = 704643072.
The previous prime is 2189426683. The next prime is 2189426699. The reversal of 2189426688 is 8866249812.
2189426688 is a `hidden beast` number, since 218 + 94 + 266 + 88 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 339738624 = 43008^2 + 18432^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (2654208) is a multiple of the sum of its prime factors (81).
It is not an unprimeable number, because it can be changed into a prime (2189426683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75497458 + ... + 75497486.
Almost surely, 22189426688 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 2189426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271556925).
2189426688 is an abundant number, since it is smaller than the sum of its proper divisors (4353687162).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2189426688 is an frugal number, since it uses more digits than its factorization.
2189426688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 34 counting only the distinct ones).
The product of its digits is 2654208, while the sum is 54.
The square root of 2189426688 is about 46791.3099624279. The cubic root of 2189426688 is about 1298.5045304281.
The spelling of 2189426688 in words is "two billion, one hundred eighty-nine million, four hundred twenty-six thousand, six hundred eighty-eight".
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