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23213133 = 3210125537
BaseRepresentation
bin101100010001…
…1010001001101
31121200100102200
41120203101031
521420310013
62145312113
7401210526
oct130432115
947610380
1023213133
1112115409
127935639
134a69aa8
14312384d
152087e73
hex162344d

23213133 has 12 divisors (see below), whose sum is σ = 33863388. Its totient is φ = 15321600.

The previous prime is 23213131. The next prime is 23213147. The reversal of 23213133 is 33131232.

It can be written as a sum of positive squares in 2 ways, for example, as 22297284 + 915849 = 4722^2 + 957^2 .

It is not a de Polignac number, because 23213133 - 21 = 23213131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213131) 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 11 ways as a sum of consecutive naturals, for example, 11860 + ... + 13677.

It is an arithmetic number, because the mean of its divisors is an integer number (2821949).

Almost surely, 223213133 is an apocalyptic number.

It is an amenable number.

23213133 is a deficient number, since it is larger than the sum of its proper divisors (10650255).

23213133 is a wasteful number, since it uses less digits than its factorization.

23213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644 (or 25641 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23213133 is about 4818.0009339974. Note that the first 3 decimals coincide. The cubic root of 23213133 is about 285.2624360144.

Adding to 23213133 its reverse (33131232), we get a palindrome (56344365).

The spelling of 23213133 in words is "twenty-three million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 101 303 909 25537 76611 229833 2579237 7737711 23213133