Base | Representation |
---|---|
bin | 1000001101101101… |
… | …1011010100101100 |
3 | 12200200002212100120 |
4 | 2003123123110230 |
5 | 14003440130400 |
6 | 1002444524540 |
7 | 105433143204 |
oct | 20333332454 |
9 | 5620085316 |
10 | 2205005100 |
11 | a31738a71 |
12 | 516550750 |
13 | 291a9485c |
14 | 16cbc1404 |
15 | cd8a9ca0 |
hex | 836db52c |
2205005100 has 144 divisors (see below), whose sum is σ = 6769150080. Its totient is φ = 552614400.
The previous prime is 2205005087. The next prime is 2205005123. The reversal of 2205005100 is 15005022.
2205005100 is digitally balanced in base 2 and base 4, because in such bases 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2205005100.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745224 + ... + 748176.
Almost surely, 22205005100 is an apocalyptic number.
2205005100 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 2205005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384575040).
2205005100 is an abundant number, since it is smaller than the sum of its proper divisors (4564144980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2205005100 is a wasteful number, since it uses less digits than its factorization.
2205005100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3120 (or 3113 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 15.
The square root of 2205005100 is about 46957.4818319722. The cubic root of 2205005100 is about 1301.5770013882.
The spelling of 2205005100 in words is "two billion, two hundred five million, five thousand, one hundred".
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