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205604245 = 572112331107
BaseRepresentation
bin11000100000101…
…00010110010101
3112022212210000001
430100110112111
5410113313440
632222451301
75044415200
oct1420242625
9468783001
10205604245
11a6070570
1258a33b31
133379a122
141d440937
15130b4b9a
hexc414595

205604245 has 96 divisors (see below), whose sum is σ = 340402176. Its totient is φ = 117532800.

The previous prime is 205604219. The next prime is 205604249. The reversal of 205604245 is 542406502.

It is not a de Polignac number, because 205604245 - 219 = 205079957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205604249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1921482 + ... + 1921588.

It is an arithmetic number, because the mean of its divisors is an integer number (3545856).

Almost surely, 2205604245 is an apocalyptic number.

It is an amenable number.

205604245 is a deficient number, since it is larger than the sum of its proper divisors (134797931).

205604245 is a wasteful number, since it uses less digits than its factorization.

205604245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 205604245 is about 14338.9066877499. The cubic root of 205604245 is about 590.2156111328.

It can be divided in two parts, 205 and 604245, that added together give a triangular number (604450 = T1099).

The spelling of 205604245 in words is "two hundred five million, six hundred four thousand, two hundred forty-five".

Divisors: 1 5 7 11 23 31 35 49 55 77 107 115 155 161 217 245 253 341 385 535 539 713 749 805 1085 1127 1177 1265 1519 1705 1771 2387 2461 2695 3317 3565 3745 4991 5243 5635 5885 7595 7843 8239 8855 11935 12305 12397 16585 16709 17227 23219 24955 26215 27071 34937 36487 39215 41195 54901 57673 61985 76291 83545 86135 116095 120589 135355 162533 174685 182435 189497 255409 274505 288365 381455 384307 534037 602945 812665 839201 947485 1277045 1326479 1787863 1921535 2670185 3738259 4196005 5874407 6632395 8939315 18691295 29372035 41120849 205604245