Base | Representation |
---|---|
bin | 101011110111… |
… | …1101000010000 |
3 | 1121021121021201 |
4 | 1113233220100 |
5 | 21342022431 |
6 | 2141000544 |
7 | 366340051 |
oct | 127575020 |
9 | 47247251 |
10 | 23001616 |
11 | 11a90500 |
12 | 7853154 |
13 | 49c4731 |
14 | 30aa728 |
15 | 2045461 |
hex | 15efa10 |
23001616 has 45 divisors (see below), whose sum is σ = 49438893. Its totient is φ = 10359360.
The previous prime is 23001613. The next prime is 23001617. The reversal of 23001616 is 61610032.
The square root of 23001616 is 4796.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 16032016 + 6969600 = 4004^2 + 2640^2 .
It is a super-2 number, since 2×230016162 = 1058148677222912, which contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 23001593 and 23001602.
It is not an unprimeable number, because it can be changed into a prime (23001613) 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 8 ways as a sum of consecutive naturals, for example, 210970 + ... + 211078.
Almost surely, 223001616 is an apocalyptic number.
23001616 is the 4796-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23001616
23001616 is an abundant number, since it is smaller than the sum of its proper divisors (26437277).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23001616 is a wasteful number, since it uses less digits than its factorization.
23001616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 248 (or 122 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The cubic root of 23001616 is about 284.3933582481.
Adding to 23001616 its reverse (61610032), we get a palindrome (84611648).
It can be divided in two parts, 230016 and 16, that added together give a palindrome (230032).
The spelling of 23001616 in words is "twenty-three million, one thousand, six hundred sixteen".
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