Search a number
-
+
23211306 = 233795441
BaseRepresentation
bin101100010001…
…0110100101010
31121200020221000
41120202310222
521420230211
62145255430
7401202306
oct130426452
947606830
1023211306
1112113aa8
127934576
134a69001
143122d06
152087656
hex1622d2a

23211306 has 32 divisors (see below), whose sum is σ = 52243200. Its totient is φ = 7637760.

The previous prime is 23211277. The next prime is 23211311. The reversal of 23211306 is 60311232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 6986.

It is an arithmetic number, because the mean of its divisors is an integer number (1632600).

Almost surely, 223211306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23211306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121600).

23211306 is an abundant number, since it is smaller than the sum of its proper divisors (29031894).

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

23211306 is a wasteful number, since it uses less digits than its factorization.

23211306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23211306 is about 4817.8113288090. The cubic root of 23211306 is about 285.2549519155.

Adding to 23211306 its reverse (60311232), we get a palindrome (83522538).

The spelling of 23211306 in words is "twenty-three million, two hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 5441 10882 16323 32646 48969 97938 146907 293814 429839 859678 1289517 2579034 3868551 7737102 11605653 23211306