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204004233 = 32172411913
BaseRepresentation
bin11000010100011…
…01101110001001
3112012212111012100
430022031232021
5404211113413
632124304013
75025002346
oct1412155611
9465774170
10204004233
11a5178444
12583a2009
1333359a84
141d1457cd
1512d9aa73
hexc28db89

204004233 has 36 divisors (see below), whose sum is σ = 320828508. Its totient is φ = 124815360.

The previous prime is 204004231. The next prime is 204004243. The reversal of 204004233 is 332400402.

It can be written as a sum of positive squares in 6 ways, for example, as 9903609 + 194100624 = 3147^2 + 13932^2 .

It is not a de Polignac number, because 204004233 - 21 = 204004231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204004231) 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 35 ways as a sum of consecutive naturals, for example, 105685 + ... + 107597.

It is an arithmetic number, because the mean of its divisors is an integer number (8911903).

Almost surely, 2204004233 is an apocalyptic number.

It is an amenable number.

204004233 is a deficient number, since it is larger than the sum of its proper divisors (116824275).

204004233 is a wasteful number, since it uses less digits than its factorization.

204004233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204004233 is about 14283.0050409569. The cubic root of 204004233 is about 588.6806033395.

Adding to 204004233 its reverse (332400402), we get a palindrome (536404635).

The spelling of 204004233 in words is "two hundred four million, four thousand, two hundred thirty-three".

Divisors: 1 3 9 17 41 51 123 153 289 369 697 867 1913 2091 2601 5739 6273 11849 17217 32521 35547 78433 97563 106641 235299 292689 552857 705897 1333361 1658571 4000083 4975713 12000249 22667137 68001411 204004233