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165864216 = 23372141041
BaseRepresentation
bin10011110001011…
…10001100011000
3102120002202221010
421320232030120
5314430123331
624243013520
74052552100
oct1170561430
9376082833
10165864216
1185698271
124766a2a0
1328494a0b
1418058200
15e864e46
hex9e2e318

165864216 has 48 divisors (see below), whose sum is σ = 482363640. Its totient is φ = 47389440.

The previous prime is 165864211. The next prime is 165864217. The reversal of 165864216 is 612468561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165864211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69345 + ... + 71696.

Almost surely, 2165864216 is an apocalyptic number.

It is an amenable number.

165864216 is an abundant number, since it is smaller than the sum of its proper divisors (316499424).

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

165864216 is a wasteful number, since it uses less digits than its factorization.

165864216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141064 (or 141053 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 165864216 is about 12878.8282075661. The cubic root of 165864216 is about 549.4365756378.

It can be divided in two parts, 16586 and 4216, that added together give a palindrome (20802).

The spelling of 165864216 in words is "one hundred sixty-five million, eight hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 141041 282082 423123 564164 846246 987287 1128328 1692492 1974574 2961861 3384984 3949148 5923722 6911009 7898296 11847444 13822018 20733027 23694888 27644036 41466054 55288072 82932108 165864216