Base | Representation |
---|---|
bin | 1000000011111100… |
… | …1111101100011000 |
3 | 12120211001210100111 |
4 | 2000333033230120 |
5 | 13413000004000 |
6 | 554423214104 |
7 | 104425142401 |
oct | 20077175430 |
9 | 5524053314 |
10 | 2164063000 |
11 | a10614620 |
12 | 5048a7334 |
13 | 28645b268 |
14 | 1675a49a8 |
15 | c9ebdcba |
hex | 80fcfb18 |
2164063000 has 128 divisors (see below), whose sum is σ = 5576351040. Its totient is φ = 779520000.
The previous prime is 2164062941. The next prime is 2164063003. The reversal of 2164063000 is 3604612.
2164063000 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 (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2164063003) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242130 + ... + 1243870.
Almost surely, 22164063000 is an apocalyptic number.
2164063000 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 2164063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788175520).
2164063000 is an abundant number, since it is smaller than the sum of its proper divisors (3412288040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2164063000 is a wasteful number, since it uses less digits than its factorization.
2164063000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
The square root of 2164063000 is about 46519.4905389128. The cubic root of 2164063000 is about 1293.4708126668.
Adding to 2164063000 its reverse (3604612), we get a palindrome (2167667612).
The spelling of 2164063000 in words is "two billion, one hundred sixty-four million, sixty-three thousand".
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