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166266342 = 23211297787
BaseRepresentation
bin10011110100100…
…00010111100110
3102120212012112200
421322100113212
5320031010332
624255355330
74056145344
oct1172202746
9376765480
10166266342
1185942400
1247822b46
13285a5a68
1418120994
15e8e417c
hex9e905e6

166266342 has 72 divisors (see below), whose sum is σ = 400560888. Its totient is φ = 49800960.

The previous prime is 166266293. The next prime is 166266343. The reversal of 166266342 is 243662661.

166266342 is a `hidden beast` number, since 16 + 6 + 2 + 6 + 634 + 2 = 666.

166266342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166266297 and 166266306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166266343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210873 + ... + 211659.

Almost surely, 2166266342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166266342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200280444).

166266342 is an abundant number, since it is smaller than the sum of its proper divisors (234294546).

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

166266342 is a wasteful number, since it uses less digits than its factorization.

166266342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 166266342 is about 12894.4306582338. The cubic root of 166266342 is about 549.8802405916.

The spelling of 166266342 in words is "one hundred sixty-six million, two hundred sixty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 121 194 198 242 291 363 582 726 787 873 1067 1089 1574 1746 2134 2178 2361 3201 4722 6402 7083 8657 9603 11737 14166 17314 19206 23474 25971 35211 51942 70422 76339 77913 95227 105633 152678 155826 190454 211266 229017 285681 458034 571362 687051 839729 857043 1374102 1679458 1714086 2519187 5038374 7557561 9237019 15115122 18474038 27711057 55422114 83133171 166266342