Base | Representation |
---|---|
bin | 101100000011… |
… | …1101010100010 |
3 | 1121110121100000 |
4 | 1120013222202 |
5 | 21403200231 |
6 | 2143040430 |
7 | 400230063 |
oct | 130075242 |
9 | 47417300 |
10 | 23100066 |
11 | 12048470 |
12 | 78a0116 |
13 | 4a2a4a2 |
14 | 30d456a |
15 | 20646e6 |
hex | 1607aa2 |
23100066 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6713280.
The previous prime is 23100061. The next prime is 23100083. The reversal of 23100066 is 66000132.
It is a happy number.
It is a super-2 number, since 2×231000662 = 1067226098408712, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (23100061) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154960 + ... + 155108.
It is an arithmetic number, because the mean of its divisors is an integer number (614250).
Almost surely, 223100066 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23100066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).
23100066 is an abundant number, since it is smaller than the sum of its proper divisors (35867934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23100066 is a wasteful number, since it uses less digits than its factorization.
23100066 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 194 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 23100066 is about 4806.2528023399. The cubic root of 23100066 is about 284.7985279692.
Adding to 23100066 its reverse (66000132), we get a palindrome (89100198).
The spelling of 23100066 in words is "twenty-three million, one hundred thousand, sixty-six".
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