Base | Representation |
---|---|
bin | 1000011111111000… |
… | …0010101100000000 |
3 | 12212222110100210000 |
4 | 2013332002230000 |
5 | 14132441004341 |
6 | 1014205440000 |
7 | 110346531105 |
oct | 20776025400 |
9 | 5788410700 |
10 | 2281188096 |
11 | a70742420 |
12 | 537b70000 |
13 | 2a47b9755 |
14 | 178d72aac |
15 | d54078b6 |
hex | 87f82b00 |
2281188096 has 360 divisors, whose sum is σ = 7577018064. Its totient is φ = 676823040.
The previous prime is 2281188083. The next prime is 2281188101. The reversal of 2281188096 is 6908811822.
It is a happy number.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 16650940 + ... + 16651076.
Almost surely, 22281188096 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 2281188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788509032).
2281188096 is an abundant number, since it is smaller than the sum of its proper divisors (5295829968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2281188096 is a wasteful number, since it uses less digits than its factorization.
2281188096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249 (or 226 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The square root of 2281188096 is about 47761.7848912706. The cubic root of 2281188096 is about 1316.3974495737.
It can be divided in two parts, 22 and 81188096, that added together give a palindrome (81188118).
The spelling of 2281188096 in words is "two billion, two hundred eighty-one million, one hundred eighty-eight thousand, ninety-six".
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