Base | Representation |
---|---|
bin | 1000010011101011… |
… | …0100110001001000 |
3 | 12202102011101202002 |
4 | 2010322310301020 |
5 | 14031340404000 |
6 | 1005140530132 |
7 | 106155540425 |
oct | 20472646110 |
9 | 5672141662 |
10 | 2230013000 |
11 | a44869856 |
12 | 5229b0948 |
13 | 29700c527 |
14 | 172250d4c |
15 | d0b998d5 |
hex | 84eb4c48 |
2230013000 has 128 divisors (see below), whose sum is σ = 5448643200. Its totient is φ = 853216000.
The previous prime is 2230012999. The next prime is 2230013017. The reversal of 2230013000 is 3100322.
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 31 ways as a sum of consecutive naturals, for example, 3798707 + ... + 3799293.
It is an arithmetic number, because the mean of its divisors is an integer number (42567525).
Almost surely, 22230013000 is an apocalyptic number.
2230013000 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 2230013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724321600).
2230013000 is an abundant number, since it is smaller than the sum of its proper divisors (3218630200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230013000 is a wasteful number, since it uses less digits than its factorization.
2230013000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 768 (or 754 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 2230013000 is about 47223.0134574235. The cubic root of 2230013000 is about 1306.4790949112.
Adding to 2230013000 its reverse (3100322), we get a palindrome (2233113322).
The spelling of 2230013000 in words is "two billion, two hundred thirty million, thirteen thousand".
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