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2166008 = 231359353
BaseRepresentation
bin1000010000110011111000
311002001012112
420100303320
51023303013
6114231452
724260615
oct10206370
94061175
102166008
11124a399
12885588
135aab80
1440550c
152cbba8
hex210cf8

2166008 has 32 divisors (see below), whose sum is σ = 4460400. Its totient is φ = 979968.

The previous prime is 2166007. The next prime is 2166023. The reversal of 2166008 is 8006612.

2166008 is nontrivially palindromic in base 12.

It is an Ulam number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5960 + ... + 6312.

22166008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230200).

2166008 is an abundant number, since it is smaller than the sum of its proper divisors (2294392).

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

2166008 is a wasteful number, since it uses less digits than its factorization.

2166008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2166008 is about 1471.7363894394. The cubic root of 2166008 is about 129.3858208566.

The spelling of 2166008 in words is "two million, one hundred sixty-six thousand, eight".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 353 472 706 767 1412 1534 2824 3068 4589 6136 9178 18356 20827 36712 41654 83308 166616 270751 541502 1083004 2166008