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165943332 = 22329747521
BaseRepresentation
bin10011110010000…
…01100000100100
3102120020210110100
421321001200210
5314440141312
624244424100
74053331542
oct1171014044
9376223410
10165943332
1185741755
12476a8030
13284c1a29
1418078d92
15e87d5dc
hex9e41824

165943332 has 36 divisors (see below), whose sum is σ = 423801196. Its totient is φ = 54743040.

The previous prime is 165943331. The next prime is 165943357. The reversal of 165943332 is 233349561.

It is a happy number.

165943332 is a `hidden beast` number, since 1 + 6 + 594 + 33 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115476516 + 50466816 = 10746^2 + 7104^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (165943331) 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, 20269 + ... + 27252.

Almost surely, 2165943332 is an apocalyptic number.

165943332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165943332 is an abundant number, since it is smaller than the sum of its proper divisors (257857864).

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

165943332 is a wasteful number, since it uses less digits than its factorization.

165943332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47628 (or 47623 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 165943332 is about 12881.8993941111. The cubic root of 165943332 is about 549.5239208078.

The spelling of 165943332 in words is "one hundred sixty-five million, nine hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 47521 95042 142563 190084 285126 427689 570252 855378 1710756 4609537 9219074 13828611 18438148 27657222 41485833 55314444 82971666 165943332