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2166168 = 233432099
BaseRepresentation
bin1000010000110110011000
311002001102110
420100312120
51023304133
6114232320
724261234
oct10206630
94061373
102166168
11124a524
128856a0
135aac74
144055c4
152cbc63
hex210d98

2166168 has 32 divisors (see below), whose sum is σ = 5544000. Its totient is φ = 704928.

The previous prime is 2166167. The next prime is 2166179. The reversal of 2166168 is 8616612.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166161) 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, 18 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

22166168 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 2166168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772000).

2166168 is an abundant number, since it is smaller than the sum of its proper divisors (3377832).

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

2166168 is a wasteful number, since it uses less digits than its factorization.

2166168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2147 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2166168 is about 1471.7907459962. The cubic root of 2166168 is about 129.3890066284.

The spelling of 2166168 in words is "two million, one hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2099 4198 6297 8396 12594 16792 25188 50376 90257 180514 270771 361028 541542 722056 1083084 2166168