Search a number
-
+
23164206 = 23131312267
BaseRepresentation
bin101100001011…
…1010100101110
31121120212022120
41120113110232
521412223311
62144253410
7400615062
oct130272456
947525276
1023164206
111209167a
127911266
134a50740
14310daa2
152078706
hex161752e

23164206 has 32 divisors (see below), whose sum is σ = 50295168. Its totient is φ = 7069920.

The previous prime is 23164189. The next prime is 23164231. The reversal of 23164206 is 60246132.

It is a super-2 number, since 2×231642062 = 1073160879220872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 9085 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (1571724).

Almost surely, 223164206 is an apocalyptic number.

23164206 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 23164206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147584).

23164206 is an abundant number, since it is smaller than the sum of its proper divisors (27130962).

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

23164206 is a wasteful number, since it uses less digits than its factorization.

23164206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23164206 is about 4812.9207348553. The cubic root of 23164206 is about 285.0618763773.

The spelling of 23164206 in words is "twenty-three million, one hundred sixty-four thousand, two hundred six".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 2267 3406 4534 5109 6801 10218 13602 29471 58942 88413 176826 296977 593954 890931 1781862 3860701 7721402 11582103 23164206