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166182114 = 23759199337
BaseRepresentation
bin10011110011110…
…11110011100010
3102120200221000010
421321323303202
5320020311424
624253505350
74055344650
oct1171736342
9376627003
10166182114
118589509a
12477a2256
1328576617
14180dbdd0
15e8c9229
hex9e7bce2

166182114 has 64 divisors (see below), whose sum is σ = 389376000. Its totient is φ = 46303488.

The previous prime is 166182101. The next prime is 166182131. The reversal of 166182114 is 411281661.

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 31 ways as a sum of consecutive naturals, for example, 492954 + ... + 493290.

It is an arithmetic number, because the mean of its divisors is an integer number (6084000).

Almost surely, 2166182114 is an apocalyptic number.

166182114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166182114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194688000).

166182114 is an abundant number, since it is smaller than the sum of its proper divisors (223193886).

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

166182114 is a wasteful number, since it uses less digits than its factorization.

166182114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607.

The product of its digits is 2304, while the sum is 30.

The square root of 166182114 is about 12891.1641832691. The cubic root of 166182114 is about 549.7873712523.

The spelling of 166182114 in words is "one hundred sixty-six million, one hundred eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 199 337 354 398 413 597 674 826 1011 1194 1239 1393 2022 2359 2478 2786 4179 4718 7077 8358 11741 14154 19883 23482 35223 39766 59649 67063 70446 82187 119298 134126 139181 164374 201189 246561 278362 402378 417543 469441 493122 835086 938882 1408323 2816646 3956717 7913434 11870151 23740302 27697019 55394038 83091057 166182114