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20165332 = 22111726959
BaseRepresentation
bin100110011101…
…1001011010100
31101221111122011
41030323023110
520130242312
62000114004
7333255025
oct114731324
941844564
1020165332
1110423570
126905904
134240765
14296cc4c
151b84da7
hex133b2d4

20165332 has 24 divisors (see below), whose sum is σ = 40763520. Its totient is φ = 8626560.

The previous prime is 20165309. The next prime is 20165339. The reversal of 20165332 is 23356102.

It is a super-2 number, since 2×201653322 = 813281229340448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20165339) 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 7 ways as a sum of consecutive naturals, for example, 12732 + ... + 14227.

It is an arithmetic number, because the mean of its divisors is an integer number (1698480).

Almost surely, 220165332 is an apocalyptic number.

20165332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20165332 is an abundant number, since it is smaller than the sum of its proper divisors (20598188).

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

20165332 is a wasteful number, since it uses less digits than its factorization.

20165332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26991 (or 26989 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 20165332 is about 4490.5825902660. The cubic root of 20165332 is about 272.1876768479.

The spelling of 20165332 in words is "twenty million, one hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 26959 53918 107836 296549 458303 593098 916606 1186196 1833212 5041333 10082666 20165332