Search a number
-
+
23084568 = 2333138221
BaseRepresentation
bin101100000001…
…1111000011000
31121102211002000
41120003320120
521402201233
62142441000
7400133643
oct130037030
947384060
1023084568
1112037861
127893160
134a23410
1430cca5a
15205ed13
hex1603e18

23084568 has 64 divisors (see below), whose sum is σ = 69064800. Its totient is φ = 7102080.

The previous prime is 23084543. The next prime is 23084569. The reversal of 23084568 is 86548032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23084569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303 + ... + 6918.

Almost surely, 223084568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23084568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34532400).

23084568 is an abundant number, since it is smaller than the sum of its proper divisors (45980232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23084568 is a wasteful number, since it uses less digits than its factorization.

23084568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 23084568 is about 4804.6402570848. The cubic root of 23084568 is about 284.7348225951.

The spelling of 23084568 in words is "twenty-three million, eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 8221 16442 24663 32884 49326 65768 73989 98652 106873 147978 197304 213746 221967 295956 320619 427492 443934 591912 641238 854984 887868 961857 1282476 1775736 1923714 2564952 2885571 3847428 5771142 7694856 11542284 23084568