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204131412 = 223211095113
BaseRepresentation
bin11000010101011…
…00110001010100
3112020002221122200
430022230301110
5404224201122
632131124500
75026042212
oct1412546124
9466087580
10204131412
11a5254a51
1258443730
13333a2924
141d179cb2
1512dc35ac
hexc2acc54

204131412 has 36 divisors (see below), whose sum is σ = 516565140. Its totient is φ = 67969152.

The previous prime is 204131399. The next prime is 204131423. The reversal of 204131412 is 214131402.

It can be written as a sum of positive squares in 2 ways, for example, as 2604996 + 201526416 = 1614^2 + 14196^2 .

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

It is a super-2 number, since 2×2041314122 = 83339266730227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37368 + ... + 42480.

Almost surely, 2204131412 is an apocalyptic number.

It is an amenable number.

204131412 is an abundant number, since it is smaller than the sum of its proper divisors (312433728).

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

204131412 is a wasteful number, since it uses less digits than its factorization.

204131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 204131412 is about 14287.4564566266. The cubic root of 204131412 is about 588.8029084127.

Adding to 204131412 its reverse (214131402), we get a palindrome (418262814).

The spelling of 204131412 in words is "two hundred four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1109 2218 3327 4436 5113 6654 9981 10226 13308 15339 19962 20452 30678 39924 46017 61356 92034 184068 5670317 11340634 17010951 22681268 34021902 51032853 68043804 102065706 204131412