Base | Representation |
---|---|
bin | 101100010010… |
… | …0010001110000 |
3 | 1121200120002200 |
4 | 1120210101300 |
5 | 21420423024 |
6 | 2145343200 |
7 | 401225550 |
oct | 130442160 |
9 | 47616080 |
10 | 23217264 |
11 | 12118524 |
12 | 7937b00 |
13 | 4a6b935 |
14 | 3125160 |
15 | 20892c9 |
hex | 1624470 |
23217264 has 120 divisors (see below), whose sum is σ = 76756992. Its totient is φ = 6410880.
The previous prime is 23217247. The next prime is 23217269. The reversal of 23217264 is 46271232.
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 (23217269) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30877 + ... + 31619.
Almost surely, 223217264 is an apocalyptic number.
23217264 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 23217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378496).
23217264 is an abundant number, since it is smaller than the sum of its proper divisors (53539728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23217264 is a wasteful number, since it uses less digits than its factorization.
23217264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 795 (or 786 counting only the distinct ones).
The product of its digits is 4032, while the sum is 27.
The square root of 23217264 is about 4818.4296196998. The cubic root of 23217264 is about 285.2793567409.
Adding to 23217264 its reverse (46271232), we get a palindrome (69488496).
The spelling of 23217264 in words is "twenty-three million, two hundred seventeen thousand, two hundred sixty-four".
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