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23252319 = 335316249
BaseRepresentation
bin101100010110…
…0110101011111
31121202100012000
41120230311133
521423033234
62150213343
7401433006
oct130546537
947670160
1023252319
11121418a2
127954253
134a8188c
143133c3d
152094899
hex162cd5f

23252319 has 16 divisors (see below), whose sum is σ = 35100000. Its totient is φ = 15208128.

The previous prime is 23252309. The next prime is 23252329. The reversal of 23252319 is 91325232.

It is an interprime number because it is at equal distance from previous prime (23252309) and next prime (23252329).

It is not a de Polignac number, because 23252319 - 27 = 23252191 is a prime.

It is a super-3 number, since 3×232523193 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 23252292 and 23252301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23252309) 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, 6694 + ... + 9555.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 223252319 is an apocalyptic number.

23252319 is a deficient number, since it is larger than the sum of its proper divisors (11847681).

23252319 is a wasteful number, since it uses less digits than its factorization.

23252319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16305 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 23252319 is about 4822.0658435986. The cubic root of 23252319 is about 285.4228625812.

The spelling of 23252319 in words is "twenty-three million, two hundred fifty-two thousand, three hundred nineteen".

Divisors: 1 3 9 27 53 159 477 1431 16249 48747 146241 438723 861197 2583591 7750773 23252319