Base | Representation |
---|---|
bin | 101100101010… |
… | …1010100100000 |
3 | 1122001202122200 |
4 | 1121111110200 |
5 | 21443340034 |
6 | 2153533200 |
7 | 403023321 |
oct | 131252440 |
9 | 48052580 |
10 | 23418144 |
11 | 12245442 |
12 | 7a14200 |
13 | 4b0c1b9 |
14 | 3178448 |
15 | 20c8a99 |
hex | 1655520 |
23418144 has 144 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 7257600.
The previous prime is 23418139. The next prime is 23418169. The reversal of 23418144 is 44181432.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383874 + ... + 383934.
It is an arithmetic number, because the mean of its divisors is an integer number (496496).
Almost surely, 223418144 is an apocalyptic number.
23418144 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 23418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).
23418144 is an abundant number, since it is smaller than the sum of its proper divisors (48077280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23418144 is a wasteful number, since it uses less digits than its factorization.
23418144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 151 (or 140 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 23418144 is about 4839.2296907669. The cubic root of 23418144 is about 286.0997581807.
Adding to 23418144 its reverse (44181432), we get a palindrome (67599576).
The spelling of 23418144 in words is "twenty-three million, four hundred eighteen thousand, one hundred forty-four".
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