Search a number
-
+
23243535 = 3257113653
BaseRepresentation
bin101100010101…
…0101100001111
31121201220010200
41120222230033
521422243120
62150104543
7401365260
oct130525417
947656120
1023243535
1112136237
12794b153
134a7a893
143130967
152091e90
hex162ab0f

23243535 has 48 divisors (see below), whose sum is σ = 46522944. Its totient is φ = 10515456.

The previous prime is 23243497. The next prime is 23243543. The reversal of 23243535 is 53534232.

It is not a de Polignac number, because 23243535 - 212 = 23239439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23243499 and 23243508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35269 + ... + 35921.

It is an arithmetic number, because the mean of its divisors is an integer number (969228).

Almost surely, 223243535 is an apocalyptic number.

23243535 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

23243535 is a wasteful number, since it uses less digits than its factorization.

23243535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 23243535 is about 4821.1549446165. The cubic root of 23243535 is about 285.3869167730.

Adding to 23243535 its reverse (53534232), we get a palindrome (76777767).

The spelling of 23243535 in words is "twenty-three million, two hundred forty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 315 339 565 653 791 1017 1695 1959 2373 3265 3955 4571 5085 5877 7119 9795 11865 13713 22855 29385 35595 41139 68565 73789 205695 221367 368945 516523 664101 1106835 1549569 2582615 3320505 4648707 7747845 23243535