Search a number
-
+
23165340 = 22351135099
BaseRepresentation
bin101100001011…
…1100110011100
31121120220212120
41120113212130
521412242330
62144302540
7400621302
oct130274634
947526776
1023165340
1112092510
127911a50
134a51103
143110272
152078c10
hex161799c

23165340 has 48 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 5615680.

The previous prime is 23165327. The next prime is 23165341. The reversal of 23165340 is 4356132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23165340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23165341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16890 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 223165340 is an apocalyptic number.

23165340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23165340 is an abundant number, since it is smaller than the sum of its proper divisors (47596260).

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

23165340 is a wasteful number, since it uses less digits than its factorization.

23165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35122 (or 35120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23165340 is about 4813.0385412959. The cubic root of 23165340 is about 285.0665280209.

The spelling of 23165340 in words is "twenty-three million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 35099 70198 105297 140396 175495 210594 350990 386089 421188 526485 701980 772178 1052970 1158267 1544356 1930445 2105940 2316534 3860890 4633068 5791335 7721780 11582670 23165340