Search a number
-
+
23345253 = 35234177
BaseRepresentation
bin101100100001…
…1100001100101
31121221001200000
41121003201211
521434022003
62152211513
7402300651
oct131034145
947831600
1023345253
11121a56a8
127999b99
134ab4c79
143159a61
1520b21a3
hex1643865

23345253 has 24 divisors (see below), whose sum is σ = 36499008. Its totient is φ = 14883264.

The previous prime is 23345239. The next prime is 23345303. The reversal of 23345253 is 35254332.

It is not a de Polignac number, because 23345253 - 214 = 23328869 is a prime.

It is a super-3 number, since 3×233452533 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3501 + ... + 7677.

It is an arithmetic number, because the mean of its divisors is an integer number (1520792).

Almost surely, 223345253 is an apocalyptic number.

23345253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23345253 is a deficient number, since it is larger than the sum of its proper divisors (13153755).

23345253 is an equidigital number, since it uses as much as digits as its factorization.

23345253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4203 counting only the distinct ones).

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

The square root of 23345253 is about 4831.6925605837. The cubic root of 23345253 is about 285.8026129174.

Adding to 23345253 its reverse (35254332), we get a palindrome (58599585).

The spelling of 23345253 in words is "twenty-three million, three hundred forty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 23 27 69 81 207 243 621 1863 4177 5589 12531 37593 96071 112779 288213 338337 864639 1015011 2593917 7781751 23345253