Search a number
-
+
23115015 = 3257211953
BaseRepresentation
bin101100000101…
…1010100000111
31121111100211200
41120023110013
521404140030
62143233543
7400321500
oct130132407
947440750
1023115015
1112058720
1278a88b3
134a34231
1430d9ba7
152068d60
hex160b507

23115015 has 72 divisors (see below), whose sum is σ = 50897808. Its totient is φ = 9596160.

The previous prime is 23114999. The next prime is 23115041. The reversal of 23115015 is 51051132.

It is not a de Polignac number, because 23115015 - 24 = 23114999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23779 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (706914).

Almost surely, 223115015 is an apocalyptic number.

23115015 is an abundant number, since it is smaller than the sum of its proper divisors (27782793).

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

23115015 is a wasteful number, since it uses less digits than its factorization.

23115015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 23115015 is about 4807.8077124611. The cubic root of 23115015 is about 284.8599496571.

Adding to 23115015 its reverse (51051132), we get a palindrome (74166147).

The spelling of 23115015 in words is "twenty-three million, one hundred fifteen thousand, fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 953 1155 1617 2205 2695 2859 3465 4765 4851 6671 8085 8577 10483 14295 20013 24255 31449 33355 42885 46697 52415 60039 73381 94347 100065 140091 157245 220143 233485 300195 366905 420273 471735 513667 660429 700455 1100715 1541001 2101365 2568335 3302145 4623003 7705005 23115015