Search a number
-
+
23105536 = 2125641
BaseRepresentation
bin101100000100…
…1000000000000
31121110212211121
41120021000000
521403334121
62143122024
7400252036
oct130110000
947425747
1023105536
1112051593
1278a3314
134a2cb1c
1430d6556
152066141
hex1609000

23105536 has 26 divisors (see below), whose sum is σ = 46213622. Its totient is φ = 11550720.

The previous prime is 23105531. The next prime is 23105543. The reversal of 23105536 is 63550132.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23040000 + 65536 = 4800^2 + 256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23105536.

It is not an unprimeable number, because it can be changed into a prime (23105531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276 + ... + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (1777447).

Almost surely, 223105536 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 23105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106811).

23105536 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

23105536 is an frugal number, since it uses more digits than its factorization.

23105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 23105536 is about 4806.8218190401. The cubic root of 23105536 is about 284.8210058992.

Adding to 23105536 its reverse (63550132), we get a palindrome (86655668).

The spelling of 23105536 in words is "twenty-three million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5641 11282 22564 45128 90256 180512 361024 722048 1444096 2888192 5776384 11552768 23105536