Base | Representation |
---|---|
bin | 101011111001… |
… | …1101000010000 |
3 | 1121022102202112 |
4 | 1113303220100 |
5 | 21343034000 |
6 | 2141204452 |
7 | 366435605 |
oct | 127635020 |
9 | 47272675 |
10 | 23018000 |
11 | 11aa1845 |
12 | 7860728 |
13 | 49cc025 |
14 | 30b26ac |
15 | 204a235 |
hex | 15f3a10 |
23018000 has 80 divisors (see below), whose sum is σ = 59018544. Its totient is φ = 8652800.
The previous prime is 23017999. The next prime is 23018011. The reversal of 23018000 is 81032.
It can be written as a sum of positive squares in 8 ways, for example, as 246016 + 22771984 = 496^2 + 4772^2 .
It is a tau number, because it is divible by the number of its divisors (80).
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, 33662 + ... + 34338.
Almost surely, 223018000 is an apocalyptic number.
23018000 is a gapful number since it is divisible by the number (20) 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 23018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29509272).
23018000 is an abundant number, since it is smaller than the sum of its proper divisors (36000544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23018000 is a wasteful number, since it uses less digits than its factorization.
23018000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 717 (or 701 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 23018000 is about 4797.7077860162. The cubic root of 23018000 is about 284.4608664745.
Adding to 23018000 its reverse (81032), we get a palindrome (23099032).
It can be divided in two parts, 2301 and 8000, that added together give a palindrome (10301).
The spelling of 23018000 in words is "twenty-three million, eighteen thousand".
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