Base | Representation |
---|---|
bin | 1000100111100001… |
… | …0110101001100000 |
3 | 12222012210100101200 |
4 | 2021320112221200 |
5 | 14214143021144 |
6 | 1021313001200 |
7 | 111216212151 |
oct | 21170265140 |
9 | 5865710350 |
10 | 2313251424 |
11 | a87852040 |
12 | 546853200 |
13 | 2ab334933 |
14 | 17d31b928 |
15 | d813cc69 |
hex | 89e16a60 |
2313251424 has 144 divisors (see below), whose sum is σ = 7215796224. Its totient is φ = 697132800.
The previous prime is 2313251411. The next prime is 2313251429. The reversal of 2313251424 is 4241523132.
2313251424 is a `hidden beast` number, since 231 + 3 + 2 + 5 + 1 + 424 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×23132514242 = 10702264301276055552, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2313251429) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 603177 + ... + 606999.
It is an arithmetic number, because the mean of its divisors is an integer number (50109696).
Almost surely, 22313251424 is an apocalyptic number.
2313251424 is a gapful number since it is divisible by the number (24) 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 2313251424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607898112).
2313251424 is an abundant number, since it is smaller than the sum of its proper divisors (4902544800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2313251424 is a wasteful number, since it uses less digits than its factorization.
2313251424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4041 (or 4030 counting only the distinct ones).
The product of its digits is 5760, while the sum is 27.
The square root of 2313251424 is about 48096.2724543181. The cubic root of 2313251424 is about 1322.5363355166.
Adding to 2313251424 its reverse (4241523132), we get a palindrome (6554774556).
The spelling of 2313251424 in words is "two billion, three hundred thirteen million, two hundred fifty-one thousand, four hundred twenty-four".
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