Search a number
-
+
23126166 = 2327296329
BaseRepresentation
bin101100000111…
…0000010010110
31121111221010200
41120032002112
521410014131
62143401330
7400366140
oct130160226
947457120
1023126166
1112066038
1278b3246
134a3932b
1430ddc90
15206c2e6
hex160e096

23126166 has 48 divisors (see below), whose sum is σ = 59248800. Its totient is φ = 6378624.

The previous prime is 23126161. The next prime is 23126183. The reversal of 23126166 is 66162132.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23126161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490 + ... + 6818.

It is an arithmetic number, because the mean of its divisors is an integer number (1234350).

Almost surely, 223126166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23126166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29624400).

23126166 is an abundant number, since it is smaller than the sum of its proper divisors (36122634).

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

23126166 is a wasteful number, since it uses less digits than its factorization.

23126166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6370 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 23126166 is about 4808.9672487968. The cubic root of 23126166 is about 284.9057490743.

Adding to 23126166 its reverse (66162132), we get a palindrome (89288298).

The spelling of 23126166 in words is "twenty-three million, one hundred twenty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 6329 12658 18987 37974 44303 56961 88606 113922 132909 183541 265818 367082 398727 550623 797454 1101246 1284787 1651869 2569574 3303738 3854361 7708722 11563083 23126166