Search a number
-
+
23233113306 = 23313122327061
BaseRepresentation
bin10101101000110011…
…010010110011011010
32012222011012102221000
4111220303102303122
5340040134111211
614401222125430
71451511130134
oct255063226332
965864172830
1023233113306
119942539997
124604880876
13226346b530
1411a5850054
1590ea0a656
hex568cd2cda

23233113306 has 64 divisors (see below), whose sum is σ = 55648131840. Its totient is φ = 7142541120.

The previous prime is 23233113269. The next prime is 23233113307. The reversal of 23233113306 is 60331133232.

It is a happy number.

23233113306 is a `hidden beast` number, since 2 + 323 + 3 + 1 + 1 + 330 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23233113306.

It is not an unprimeable number, because it can be changed into a prime (23233113307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845016 + ... + 872076.

It is an arithmetic number, because the mean of its divisors is an integer number (869502060).

Almost surely, 223233113306 is an apocalyptic number.

23233113306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233113306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27824065920).

23233113306 is an abundant number, since it is smaller than the sum of its proper divisors (32415018534).

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

23233113306 is a wasteful number, since it uses less digits than its factorization.

23233113306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28308 (or 28302 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23233113306 its reverse (60331133232), we get a palindrome (83564246538).

The spelling of 23233113306 in words is "twenty-three billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1223 2446 3669 7338 11007 15899 22014 27061 31798 33021 47697 54122 66042 81183 95394 143091 162366 243549 286182 351793 429273 487098 703586 730647 858546 1055379 1461294 2110758 3166137 6332274 9498411 18996822 33095603 66191206 99286809 198573618 297860427 430242839 595720854 860485678 893581281 1290728517 1787162562 2581457034 3872185551 7744371102 11616556653 23233113306