Search a number
-
+
204055335 = 335111759137
BaseRepresentation
bin11000010100110…
…10001100100111
3112012222002022000
430022122030213
5404214232320
632125340343
75025304341
oct1412321447
9465862260
10204055335
11a5202880
12584076b3
1333377103
141d15a291
1512daac90
hexc29a327

204055335 has 128 divisors (see below), whose sum is σ = 429235200. Its totient is φ = 90869760.

The previous prime is 204055331. The next prime is 204055337. The reversal of 204055335 is 533550402.

It is not a de Polignac number, because 204055335 - 22 = 204055331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204055299 and 204055308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204055331) 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 127 ways as a sum of consecutive naturals, for example, 1489387 + ... + 1489523.

It is an arithmetic number, because the mean of its divisors is an integer number (3353400).

Almost surely, 2204055335 is an apocalyptic number.

204055335 is an abundant number, since it is smaller than the sum of its proper divisors (225179865).

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

204055335 is a wasteful number, since it uses less digits than its factorization.

204055335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 204055335 is about 14284.7938382043. The cubic root of 204055335 is about 588.7297530463.

It can be divided in two parts, 2040 and 55335, that added together give a palindrome (57375).

The spelling of 204055335 in words is "two hundred four million, fifty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 59 85 99 135 137 153 165 177 187 255 295 297 411 459 495 531 561 649 685 765 885 935 1003 1233 1485 1507 1593 1683 1947 2055 2295 2329 2655 2805 3009 3245 3699 4521 5015 5049 5841 6165 6987 7535 7965 8083 8415 9027 9735 11033 11645 13563 15045 17523 18495 20961 22605 24249 25245 25619 27081 29205 33099 34935 40415 40689 45135 55165 62883 67815 72747 76857 87615 88913 99297 104805 121245 128095 135405 137411 165495 203445 218241 230571 266739 297891 314415 363735 384285 412233 444565 496485 687055 691713 800217 1091205 1152855 1236699 1333695 1489455 1511521 2061165 2400651 3458565 3710097 4001085 4534563 6183495 7557605 12003255 13603689 18550485 22672815 40811067 68018445 204055335