Base | Representation |
---|---|
bin | 1000001110111001… |
… | …1111010011010000 |
3 | 12201000111201222200 |
4 | 2003232133103100 |
5 | 14011230032003 |
6 | 1003144003200 |
7 | 105523464615 |
oct | 20356372320 |
9 | 5630451880 |
10 | 2210002128 |
11 | a34541344 |
12 | 518160500 |
13 | 292b24189 |
14 | 16d72250c |
15 | ce0456a3 |
hex | 83b9f4d0 |
2210002128 has 60 divisors (see below), whose sum is σ = 6205207008. Its totient is φ = 734253120.
The previous prime is 2210002103. The next prime is 2210002129. The reversal of 2210002128 is 8212000122.
It is a happy number.
2210002128 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 self number, because there is not a number n which added to its sum of digits gives 2210002128.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2210002129) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19213 + ... + 69203.
Almost surely, 22210002128 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 2210002128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102603504).
2210002128 is an abundant number, since it is smaller than the sum of its proper divisors (3995204880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210002128 is a wasteful number, since it uses less digits than its factorization.
2210002128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50312 (or 50303 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 2210002128 is about 47010.6597273427. The cubic root of 2210002128 is about 1302.5594797987.
The spelling of 2210002128 in words is "two billion, two hundred ten million, two thousand, one hundred twenty-eight".
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