Search a number
-
+
2112458166 = 2327131289657
BaseRepresentation
bin111110111101001…
…1000110110110110
312110012221222211100
41331322120312312
513311242130131
6545341150530
7103230412110
oct17572306666
95405858740
102112458166
119944780a5
124ab55b446
13278860560
141607b03b0
15c56c87e6
hex7de98db6

2112458166 has 48 divisors (see below), whose sum is σ = 5633226144. Its totient is φ = 557131392.

The previous prime is 2112458123. The next prime is 2112458237. The reversal of 2112458166 is 6618542112.

It is a happy number.

2112458166 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 581 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2112458166.

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, 643191 + ... + 646466.

It is an arithmetic number, because the mean of its divisors is an integer number (117358878).

Almost surely, 22112458166 is an apocalyptic number.

2112458166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2112458166 is an abundant number, since it is smaller than the sum of its proper divisors (3520767978).

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

2112458166 is a wasteful number, since it uses less digits than its factorization.

2112458166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289685 (or 1289682 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2112458166 is about 45961.4856809481. The cubic root of 2112458166 is about 1283.1065020058.

The spelling of 2112458166 in words is "two billion, one hundred twelve million, four hundred fifty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1289657 2579314 3868971 7737942 9027599 11606913 16765541 18055198 23213826 27082797 33531082 50296623 54165594 81248391 100593246 117358787 150889869 162496782 234717574 301779738 352076361 704152722 1056229083 2112458166