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2135166 = 2311217173
BaseRepresentation
bin1000001001010001111110
311000110220020
420021101332
51021311131
6113433010
724101655
oct10112176
94013806
102135166
111229200
1286b766
13599b17
143d819c
152c2996
hex20947e

2135166 has 48 divisors (see below), whose sum is σ = 4998672. Its totient is φ = 605440.

The previous prime is 2135153. The next prime is 2135167. The reversal of 2135166 is 6615312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135167) 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, 12256 + ... + 12428.

It is an arithmetic number, because the mean of its divisors is an integer number (104139).

22135166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499336).

2135166 is an abundant number, since it is smaller than the sum of its proper divisors (2863506).

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

2135166 is a wasteful number, since it uses less digits than its factorization.

2135166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2135166 is about 1461.2207225467. The cubic root of 2135166 is about 128.7687703177.

The spelling of 2135166 in words is "two million, one hundred thirty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 173 187 242 346 363 374 519 561 726 1038 1122 1903 2057 2941 3806 4114 5709 5882 6171 8823 11418 12342 17646 20933 32351 41866 62799 64702 97053 125598 194106 355861 711722 1067583 2135166