Search a number
-
+
2831166 = 2331337109
BaseRepresentation
bin1010110011001100111110
312022211122000
422303030332
51211044131
6140403130
733031062
oct12631476
95284560
102831166
111664108
12b464a6
13781860
14539aa2
153adce6
hex2b333e

2831166 has 64 divisors (see below), whose sum is σ = 7022400. Its totient is φ = 839808.

The previous prime is 2831141. The next prime is 2831167. The reversal of 2831166 is 6611382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831167) 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 31 ways as a sum of consecutive naturals, for example, 25920 + ... + 26028.

It is an arithmetic number, because the mean of its divisors is an integer number (109725).

22831166 is an apocalyptic number.

2831166 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 2831166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511200).

2831166 is an abundant number, since it is smaller than the sum of its proper divisors (4191234).

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

2831166 is a wasteful number, since it uses less digits than its factorization.

2831166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2831166 is about 1682.6069059647. The cubic root of 2831166 is about 141.4669894319.

The spelling of 2831166 in words is "two million, eight hundred thirty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 109 111 117 218 222 234 327 333 351 481 654 666 702 962 981 999 1417 1443 1962 1998 2834 2886 2943 4033 4251 4329 5886 8066 8502 8658 12099 12753 12987 24198 25506 25974 36297 38259 52429 72594 76518 104858 108891 157287 217782 314574 471861 943722 1415583 2831166