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166122414 = 2341995153
BaseRepresentation
bin10011110011011…
…01001110101110
3102120120220010000
421321231032232
5320011404124
624252325130
74055005623
oct1171551656
9376526100
10166122414
1185854257
12477737a6
13285553b3
14180c434a
15e8b66c9
hex9e6d3ae

166122414 has 40 divisors (see below), whose sum is σ = 374180400. Its totient is φ = 55085184.

The previous prime is 166122409. The next prime is 166122421. The reversal of 166122414 is 414221661.

166122414 is a `hidden beast` number, since 1 + 6 + 612 + 2 + 41 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29662 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (9354510).

Almost surely, 2166122414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166122414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187090200).

166122414 is an abundant number, since it is smaller than the sum of its proper divisors (208057986).

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

166122414 is a wasteful number, since it uses less digits than its factorization.

166122414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5357 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 166122414 is about 12888.8484357603. The cubic root of 166122414 is about 549.7215273488.

The spelling of 166122414 in words is "one hundred sixty-six million, one hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5153 5373 10306 10746 15459 16119 30918 32238 46377 92754 139131 278262 417393 834786 1025447 2050894 3076341 6152682 9229023 18458046 27687069 55374138 83061207 166122414