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165042216 = 23322292253
BaseRepresentation
bin10011101011001…
…01100000101000
3102111120000100200
421311211200220
5314222322331
624213232200
74042556433
oct1165454050
9374500320
10165042216
1185186729
1247332660
1328267821
1417cc281a
15e7515e6
hex9d65828

165042216 has 24 divisors (see below), whose sum is σ = 446989530. Its totient is φ = 55014048.

The previous prime is 165042211. The next prime is 165042221. The reversal of 165042216 is 612240561.

165042216 is a `hidden beast` number, since 1 + 650 + 4 + 2 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (165042211) and next prime (165042221).

It can be written as a sum of positive squares in only one way, i.e., 165019716 + 22500 = 12846^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 165042216.

It is not an unprimeable number, because it can be changed into a prime (165042211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146055 + ... + 1146198.

Almost surely, 2165042216 is an apocalyptic number.

It is an amenable number.

165042216 is an abundant number, since it is smaller than the sum of its proper divisors (281947314).

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

165042216 is a wasteful number, since it uses less digits than its factorization.

165042216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292265 (or 2292258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 165042216 is about 12846.8757291413. The cubic root of 165042216 is about 548.5274283440.

Adding to 165042216 its reverse (612240561), we get a palindrome (777282777).

The spelling of 165042216 in words is "one hundred sixty-five million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2292253 4584506 6876759 9169012 13753518 18338024 20630277 27507036 41260554 55014072 82521108 165042216