Base | Representation |
---|---|
bin | 1000001111111010… |
… | …0111110001010000 |
3 | 12201022110121002000 |
4 | 2003332213301100 |
5 | 14013320343440 |
6 | 1003414354000 |
7 | 105604440213 |
oct | 20376476120 |
9 | 5638417060 |
10 | 2214231120 |
11 | a3696a682 |
12 | 51965b900 |
13 | 29397503a |
14 | 17010377a |
15 | ce5cd730 |
hex | 83fa7c50 |
2214231120 has 320 divisors, whose sum is σ = 8101862400. Its totient is φ = 554273280.
The previous prime is 2214231077. The next prime is 2214231161. The reversal of 2214231120 is 211324122.
It is a happy number.
2214231120 is a `hidden beast` number, since 221 + 423 + 1 + 1 + 20 = 666.
2214231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2214231093 and 2214231102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6689355 + ... + 6689685.
It is an arithmetic number, because the mean of its divisors is an integer number (25318320).
Almost surely, 22214231120 is an apocalyptic number.
2214231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2214231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050931200).
2214231120 is an abundant number, since it is smaller than the sum of its proper divisors (5887631280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214231120 is a wasteful number, since it uses less digits than its factorization.
2214231120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 535 (or 523 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2214231120 is about 47055.6173054822. The cubic root of 2214231120 is about 1303.3897963008.
Adding to 2214231120 its reverse (211324122), we get a palindrome (2425555242).
The spelling of 2214231120 in words is "two billion, two hundred fourteen million, two hundred thirty-one thousand, one hundred twenty".
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