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20024181 = 3217294513
BaseRepresentation
bin100110001100…
…0101101110101
31101200100000100
41030120231311
520111233211
61553104313
7332126352
oct114305565
941610010
1020024181
1110337511
126858099
1341c1438
142933629
151b58156
hex1318b75

20024181 has 24 divisors (see below), whose sum is σ = 31688280. Its totient is φ = 12128256.

The previous prime is 20024177. The next prime is 20024219. The reversal of 20024181 is 18142002.

It can be written as a sum of positive squares in 4 ways, for example, as 576081 + 19448100 = 759^2 + 4410^2 .

It is not a de Polignac number, because 20024181 - 22 = 20024177 is a prime.

It is a super-2 number, since 2×200241812 = 801935649441522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20024131) 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 23 ways as a sum of consecutive naturals, for example, 2181 + ... + 6693.

It is an arithmetic number, because the mean of its divisors is an integer number (1320345).

Almost surely, 220024181 is an apocalyptic number.

It is an amenable number.

20024181 is a deficient number, since it is larger than the sum of its proper divisors (11664099).

20024181 is a wasteful number, since it uses less digits than its factorization.

20024181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20024181 is about 4474.8386563093. The cubic root of 20024181 is about 271.5511131548.

Adding to 20024181 its reverse (18142002), we get a palindrome (38166183).

The spelling of 20024181 in words is "twenty million, twenty-four thousand, one hundred eighty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 4513 13539 40617 76721 130877 230163 392631 690489 1177893 2224909 6674727 20024181