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166145112 = 23327714643
BaseRepresentation
bin10011110011100…
…10110001011000
3102120122001020200
421321302301120
5320013120422
624253022200
74055132040
oct1171626130
9376561220
10166145112
118586a311
1247784960
1328562823
14180cc720
15e8bd2ac
hex9e72c58

166145112 has 96 divisors (see below), whose sum is σ = 521614080. Its totient is φ = 46791360.

The previous prime is 166145107. The next prime is 166145113. The reversal of 166145112 is 211541661.

166145112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166145113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33463 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (5433480).

Almost surely, 2166145112 is an apocalyptic number.

166145112 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 166145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260807040).

166145112 is an abundant number, since it is smaller than the sum of its proper divisors (355468968).

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

166145112 is a wasteful number, since it uses less digits than its factorization.

166145112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4726 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 166145112 is about 12889.7289343104. The cubic root of 166145112 is about 549.7465631255.

Adding to 166145112 its reverse (211541661), we get a palindrome (377686773).

The spelling of 166145112 in words is "one hundred sixty-six million, one hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 994 1278 1491 1704 1988 2556 2982 3976 4473 4643 5112 5964 8946 9286 11928 13929 17892 18572 27858 32501 35784 37144 41787 55716 65002 83574 97503 111432 130004 167148 195006 260008 292509 329653 334296 390012 585018 659306 780024 988959 1170036 1318612 1977918 2307571 2340072 2637224 2966877 3955836 4615142 5933754 6922713 7911672 9230284 11867508 13845426 18460568 20768139 23735016 27690852 41536278 55381704 83072556 166145112