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205222241 = 72291391039
BaseRepresentation
bin11000011101101…
…11000101100001
3112022011100222202
430032313011201
5410014102431
632210342545
75041234400
oct1416670541
9468140882
10205222241
11a592a564
125888aa55
13336952a3
141d381637
151303b8cb
hexc3b7161

205222241 has 24 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 168454944.

The previous prime is 205222229. The next prime is 205222253. The reversal of 205222241 is 142222502.

205222241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205222229) and next prime (205222253).

It is a de Polignac number, because none of the positive numbers 2k-205222241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205222141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197000 + ... + 198038.

It is an arithmetic number, because the mean of its divisors is an integer number (10374000).

Almost surely, 2205222241 is an apocalyptic number.

It is an amenable number.

205222241 is a deficient number, since it is larger than the sum of its proper divisors (43753759).

205222241 is a wasteful number, since it uses less digits than its factorization.

205222241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 205222241 is about 14325.5799533562. The cubic root of 205222241 is about 589.8498526286.

Adding to 205222241 its reverse (142222502), we get a palindrome (347444743).

The spelling of 205222241 in words is "two hundred five million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 7 29 49 139 203 973 1039 1421 4031 6811 7273 28217 30131 50911 144421 197519 210917 1010947 1476419 4188209 7076629 29317463 205222241