Base | Representation |
---|---|
bin | 111100000001110… |
… | …1001111011100110 |
3 | 12012101010012000200 |
4 | 1320003221323212 |
5 | 13111120132402 |
6 | 531511451330 |
7 | 100625423322 |
oct | 17003517346 |
9 | 5171105020 |
10 | 2014224102 |
11 | 943a82420 |
12 | 482686b46 |
13 | 2613b77a7 |
14 | 15171c982 |
15 | bbc7221c |
hex | 780e9ee6 |
2014224102 has 48 divisors (see below), whose sum is σ = 4765962240. Its totient is φ = 609721200.
The previous prime is 2014224049. The next prime is 2014224263.
2014224102 is a `hidden beast` number, since 201 + 422 + 41 + 0 + 2 = 666.
2014224102 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200827 + ... + 210617.
It is an arithmetic number, because the mean of its divisors is an integer number (99290880).
Almost surely, 22014224102 is an apocalyptic number.
2014224102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2014224102 is an abundant number, since it is smaller than the sum of its proper divisors (2751738138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2014224102 is a wasteful number, since it uses less digits than its factorization.
2014224102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10849 (or 10846 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2014224102 is about 44880.1080881051. The cubic root of 2014224102 is about 1262.9008710609.
It can be divided in two parts, 20142 and 24102, that added together give a palindrome (44244).
The spelling of 2014224102 in words is "two billion, fourteen million, two hundred twenty-four thousand, one hundred two".
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