Base | Representation |
---|---|
bin | 100000100000111001110… |
… | …110000010001101100000 |
3 | 21220121020221020010100020 |
4 | 200200321312002031200 |
5 | 243101423441210224 |
6 | 4430240420553440 |
7 | 320266235022225 |
oct | 40407166021540 |
9 | 7817227203306 |
10 | 2234353460064 |
11 | 791647307aa0 |
12 | 301048552880 |
13 | 132910b650bb |
14 | 7a20125b94c |
15 | 3d1c236ec79 |
hex | 20839d82360 |
2234353460064 has 96 divisors (see below), whose sum is σ = 6405433001856. Its totient is φ = 676330014720.
The previous prime is 2234353460029. The next prime is 2234353460083. The reversal of 2234353460064 is 4600643534322.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 2234353459998 and 2234353460025.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208617 + ... + 2124200.
It is an arithmetic number, because the mean of its divisors is an integer number (66723260436).
Almost surely, 22234353460064 is an apocalyptic number.
2234353460064 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 2234353460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202716500928).
2234353460064 is an abundant number, since it is smaller than the sum of its proper divisors (4171079541792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234353460064 is a wasteful number, since it uses less digits than its factorization.
2234353460064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2333748 (or 2333740 counting only the distinct ones).
The product of its (nonzero) digits is 1244160, while the sum is 42.
Adding to 2234353460064 its reverse (4600643534322), we get a palindrome (6834996994386).
The spelling of 2234353460064 in words is "two trillion, two hundred thirty-four billion, three hundred fifty-three million, four hundred sixty thousand, sixty-four".
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