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23117112 = 2332412191
BaseRepresentation
bin101100000101…
…1110100111000
31121111110201100
41120023310320
521404221422
62143251400
7400330554
oct130136470
947443640
1023117112
111205a257
1278a9b60
134a35185
1430da864
1520697ac
hex160bd38

23117112 has 72 divisors (see below), whose sum is σ = 64509120. Its totient is φ = 7478400.

The previous prime is 23117111. The next prime is 23117141. The reversal of 23117112 is 21171132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×231171123 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23117111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120937 + ... + 121127.

It is an arithmetic number, because the mean of its divisors is an integer number (895960).

Almost surely, 223117112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32254560).

23117112 is an abundant number, since it is smaller than the sum of its proper divisors (41392008).

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

23117112 is a wasteful number, since it uses less digits than its factorization.

23117112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 237 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 23117112 is about 4808.0257902802. The cubic root of 23117112 is about 284.8685635855.

Adding to 23117112 its reverse (21171132), we get a palindrome (44288244).

The spelling of 23117112 in words is "twenty-three million, one hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 191 246 328 369 382 492 573 738 764 984 1146 1476 1528 1681 1719 2292 2952 3362 3438 4584 5043 6724 6876 7831 10086 13448 13752 15129 15662 20172 23493 30258 31324 40344 46986 60516 62648 70479 93972 121032 140958 187944 281916 321071 563832 642142 963213 1284284 1926426 2568568 2889639 3852852 5779278 7705704 11558556 23117112