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165232364 = 221110137181
BaseRepresentation
bin10011101100100…
…11111011101100
3102111220200012012
421312103323230
5314244413424
624221300352
74044311003
oct1166237354
9374820165
10165232364
11852a6580
12474046b8
132830323b
1417d31c3a
15e78cb0e
hex9d93eec

165232364 has 24 divisors (see below), whose sum is σ = 318575376. Its totient is φ = 74360000.

The previous prime is 165232363. The next prime is 165232399. The reversal of 165232364 is 463232561.

165232364 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1652323643 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

165232364 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 165232364.

It is not an unprimeable number, because it can be changed into a prime (165232363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14147 + ... + 23034.

It is an arithmetic number, because the mean of its divisors is an integer number (13273974).

Almost surely, 2165232364 is an apocalyptic number.

It is an amenable number.

165232364 is a deficient number, since it is larger than the sum of its proper divisors (153343012).

165232364 is a wasteful number, since it uses less digits than its factorization.

165232364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37295 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 165232364 is about 12854.2741529812. The cubic root of 165232364 is about 548.7380034841.

The spelling of 165232364 in words is "one hundred sixty-five million, two hundred thirty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 37181 74362 148724 408991 817982 1635964 3755281 7510562 15021124 41308091 82616182 165232364