Base | Representation |
---|---|
bin | 101100010101… |
… | …1110101100000 |
3 | 1121202010120100 |
4 | 1120223311200 |
5 | 21422420344 |
6 | 2150142400 |
7 | 401415036 |
oct | 130536540 |
9 | 47663510 |
10 | 23248224 |
11 | 1213980a |
12 | 7951a00 |
13 | 4a7ca5c |
14 | 3132556 |
15 | 2093569 |
hex | 162bd60 |
23248224 has 72 divisors (see below), whose sum is σ = 66928680. Its totient is φ = 7653888.
The previous prime is 23248223. The next prime is 23248241. The reversal of 23248224 is 42284232.
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23248223) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25179 + ... + 26085.
It is an arithmetic number, because the mean of its divisors is an integer number (929565).
Almost surely, 223248224 is an apocalyptic number.
23248224 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 23248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33464340).
23248224 is an abundant number, since it is smaller than the sum of its proper divisors (43680456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23248224 is a wasteful number, since it uses less digits than its factorization.
23248224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 23248224 is about 4821.6412143584. The cubic root of 23248224 is about 285.4061061845.
The spelling of 23248224 in words is "twenty-three million, two hundred forty-eight thousand, two hundred twenty-four".
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