Base | Representation |
---|---|
bin | 101100010001… |
… | …1010001101000 |
3 | 1121200100110200 |
4 | 1120203101220 |
5 | 21420310120 |
6 | 2145312200 |
7 | 401210565 |
oct | 130432150 |
9 | 47610420 |
10 | 23213160 |
11 | 12115433 |
12 | 7935660 |
13 | 4a69ac9 |
14 | 312386c |
15 | 2087e90 |
hex | 1623468 |
23213160 has 96 divisors (see below), whose sum is σ = 79901640. Its totient is φ = 5824512.
The previous prime is 23213153. The next prime is 23213161. The reversal of 23213160 is 6131232.
It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 5116644 = 4254^2 + 2262^2 .
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 (23213161) 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, 4224 + ... + 8016.
Almost surely, 223213160 is an apocalyptic number.
23213160 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 23213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39950820).
23213160 is an abundant number, since it is smaller than the sum of its proper divisors (56688480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23213160 is a wasteful number, since it uses less digits than its factorization.
23213160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3827 (or 3820 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 23213160 is about 4818.0037359886. The cubic root of 23213160 is about 285.2625466139.
Adding to 23213160 its reverse (6131232), we get a palindrome (29344392).
The spelling of 23213160 in words is "twenty-three million, two hundred thirteen thousand, one hundred sixty".
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