Search a number
-
+
23116566 = 23112171873
BaseRepresentation
bin101100000101…
…1101100010110
31121111102222010
41120023230112
521404212231
62143245050
7400326144
oct130135426
947442863
1023116566
1112059900
1278a9786
134a34b55
1430da594
152069546
hex160bb16

23116566 has 48 divisors (see below), whose sum is σ = 53836272. Its totient is φ = 6589440.

The previous prime is 23116547. The next prime is 23116573. The reversal of 23116566 is 66561132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11406 + ... + 13278.

It is an arithmetic number, because the mean of its divisors is an integer number (1121589).

Almost surely, 223116566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23116566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918136).

23116566 is an abundant number, since it is smaller than the sum of its proper divisors (30719706).

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

23116566 is a wasteful number, since it uses less digits than its factorization.

23116566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 23116566 is about 4807.9690098835. The cubic root of 23116566 is about 284.8663208102.

Adding to 23116566 its reverse (66561132), we get a palindrome (89677698).

The spelling of 23116566 in words is "twenty-three million, one hundred sixteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 1873 2057 3746 4114 5619 6171 11238 12342 20603 31841 41206 61809 63682 95523 123618 191046 226633 350251 453266 679899 700502 1050753 1359798 2101506 3852761 7705522 11558283 23116566