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204012144 = 24327202393
BaseRepresentation
bin11000010100011…
…11101001110000
3112012212220001100
430022033221300
5404211342034
632124404400
75025034410
oct1412175160
9465786040
10204012144
11a5183386
12583a6700
133336055b
141d148640
1512d9d099
hexc28fa70

204012144 has 60 divisors (see below), whose sum is σ = 652518256. Its totient is φ = 58288896.

The previous prime is 204012143. The next prime is 204012169. The reversal of 204012144 is 441210402.

204012144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204012143) 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 11 ways as a sum of consecutive naturals, for example, 100189 + ... + 102204.

Almost surely, 2204012144 is an apocalyptic number.

204012144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204012144 is an abundant number, since it is smaller than the sum of its proper divisors (448506112).

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

204012144 is a wasteful number, since it uses less digits than its factorization.

204012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202414 (or 202405 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204012144 is about 14283.2819757925. The cubic root of 204012144 is about 588.6882126458.

Adding to 204012144 its reverse (441210402), we get a palindrome (645222546).

The spelling of 204012144 in words is "two hundred four million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 202393 404786 607179 809572 1214358 1416751 1619144 1821537 2428716 2833502 3238288 3643074 4250253 4857432 5667004 7286148 8500506 9714864 11334008 12750759 14572296 17001012 22668016 25501518 29144592 34002024 51003036 68004048 102006072 204012144