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165212268 = 2231331127269
BaseRepresentation
bin10011101100011…
…11000001101100
3102111212122121220
421312033001230
5314243243033
624221023340
74044165264
oct1166170154
9374778556
10165212268
1185292471
12473b4b50
13282c7050
1417d287a4
15e786bb3
hex9d8f06c

165212268 has 96 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 48625920.

The previous prime is 165212263. The next prime is 165212297. The reversal of 165212268 is 862212561.

165212268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165212261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614038 + ... + 614306.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2165212268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165212268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

165212268 is an abundant number, since it is smaller than the sum of its proper divisors (268308372).

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

165212268 is a wasteful number, since it uses less digits than its factorization.

165212268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 165212268 is about 12853.4924436902. The cubic root of 165212268 is about 548.7157562565.

The spelling of 165212268 in words is "one hundred sixty-five million, two hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 127 156 186 254 269 372 381 403 508 538 762 806 807 1076 1209 1524 1612 1614 1651 2418 3228 3302 3497 3937 4836 4953 6604 6994 7874 8339 9906 10491 11811 13988 15748 16678 19812 20982 23622 25017 33356 34163 41964 47244 50034 51181 68326 100068 102362 102489 108407 136652 153543 204724 204978 216814 307086 325221 409956 433628 444119 614172 650442 888238 1059053 1300884 1332357 1776476 2118106 2664714 3177159 4236212 5329428 6354318 12708636 13767689 27535378 41303067 55070756 82606134 165212268