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204214241 = 7112461523
BaseRepresentation
bin11000010110000…
…00111111100001
3112020021011021102
430023000333201
5404234323431
632133004145
75026535540
oct1413007741
9466234242
10204214241
11a5301200
1258483655
133340153a
141d19c157
1512ddcdcb
hexc2c0fe1

204214241 has 24 divisors (see below), whose sum is σ = 257581632. Its totient is φ = 158479200.

The previous prime is 204214237. The next prime is 204214243. The reversal of 204214241 is 142412402.

It is not a de Polignac number, because 204214241 - 22 = 204214237 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204214243) 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, 390206 + ... + 390728.

It is an arithmetic number, because the mean of its divisors is an integer number (10732568).

Almost surely, 2204214241 is an apocalyptic number.

It is an amenable number.

204214241 is a deficient number, since it is larger than the sum of its proper divisors (53367391).

204214241 is a wasteful number, since it uses less digits than its factorization.

204214241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 204214241 is about 14290.3548241463. The cubic root of 204214241 is about 588.8825358135.

Adding to 204214241 its reverse (142412402), we get a palindrome (346626643).

The spelling of 204214241 in words is "two hundred four million, two hundred fourteen thousand, two hundred forty-one".

Divisors: 1 7 11 77 121 461 523 847 3227 3661 5071 5753 35497 40271 55781 63283 241103 390467 442981 1687721 2652133 18564931 29173463 204214241