| Base | Representation |
|---|---|
| bin | 10011110011110… |
| … | …01010011100000 |
| 3 | 102120200101221210 |
| 4 | 21321321103200 |
| 5 | 320014444442 |
| 6 | 24253350120 |
| 7 | 4055303046 |
| oct | 1171712340 |
| 9 | 376611853 |
| 10 | 166171872 |
| 11 | 85888429 |
| 12 | 47798340 |
| 13 | 28571a69 |
| 14 | 180d8396 |
| 15 | e8c619c |
| hex | 9e794e0 |
166171872 has 192 divisors, whose sum is σ = 509483520. Its totient is φ = 47038464.
The previous prime is 166171867. The next prime is 166171877. The reversal of 166171872 is 278171661.
166171872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (166171867) and next prime (166171877).
It is a super-2 number, since 2×1661718722 = 55226182087968768, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 166171872.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (166171877) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713068 + ... + 713300.
It is an arithmetic number, because the mean of its divisors is an integer number (2653560).
Almost surely, 2166171872 is an apocalyptic number.
166171872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 166171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).
166171872 is an abundant number, since it is smaller than the sum of its proper divisors (343311648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166171872 is a wasteful number, since it uses less digits than its factorization.
166171872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 305 (or 297 counting only the distinct ones).
The product of its digits is 28224, while the sum is 39.
The square root of 166171872 is about 12890.7669283096. The cubic root of 166171872 is about 549.7760763386.
The spelling of 166171872 in words is "one hundred sixty-six million, one hundred seventy-one thousand, eight hundred seventy-two".
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