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204102144 = 293244293
BaseRepresentation
bin11000010101001…
…01101000000000
3112020001110111200
430022211220000
5404222232034
632130341200
75025560661
oct1412455000
9466043450
10204102144
11a5234a64
125842a800
13333924cc
141d16d368
1512db9a99
hexc2a5a00

204102144 has 60 divisors (see below), whose sum is σ = 589065906. Its totient is φ = 68032512.

The previous prime is 204102131. The next prime is 204102163. The reversal of 204102144 is 441201402.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 65804544 = 11760^2 + 8112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17539 + ... + 26754.

Almost surely, 2204102144 is an apocalyptic number.

204102144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204102144 is an abundant number, since it is smaller than the sum of its proper divisors (384963762).

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

204102144 is an equidigital number, since it uses as much as digits as its factorization.

204102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44317 (or 44298 counting only the distinct ones).

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

The square root of 204102144 is about 14286.4321648199. The cubic root of 204102144 is about 588.7747665620.

Adding to 204102144 its reverse (441201402), we get a palindrome (645303546).

The spelling of 204102144 in words is "two hundred four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 44293 88586 132879 177172 265758 354344 398637 531516 708688 797274 1063032 1417376 1594548 2126064 2834752 3189096 4252128 5669504 6378192 8504256 11339008 12756384 17008512 22678016 25512768 34017024 51025536 68034048 102051072 204102144