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165345156 = 223237124133
BaseRepresentation
bin10011101101011…
…11011110000100
3102112010101220200
421312233132010
5314312021111
624223530500
74045260564
oct1166573604
9375111820
10165345156
1185373299
1247459a30
1328342692
1417d60da4
15e7b1256
hex9daf784

165345156 has 36 divisors (see below), whose sum is σ = 429255372. Its totient is φ = 53625024.

The previous prime is 165345143. The next prime is 165345157. The reversal of 165345156 is 651543561.

165345156 is a `hidden beast` number, since 165 + 345 + 156 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115218756 + 50126400 = 10734^2 + 7080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1653451562 = 54678041225328672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165345156.

It is not an unprimeable number, because it can be changed into a prime (165345157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60735 + ... + 63398.

Almost surely, 2165345156 is an apocalyptic number.

It is an amenable number.

165345156 is an abundant number, since it is smaller than the sum of its proper divisors (263910216).

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

165345156 is a wasteful number, since it uses less digits than its factorization.

165345156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124180 (or 124175 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 165345156 is about 12858.6607389728. The cubic root of 165345156 is about 548.8628361287.

The spelling of 165345156 in words is "one hundred sixty-five million, three hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 124133 248266 372399 496532 744798 1117197 1489596 2234394 4468788 4592921 9185842 13778763 18371684 27557526 41336289 55115052 82672578 165345156