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222213414230241 = 37731313613306259
BaseRepresentation
bin110010100001101000010111…
…100111101001100011100001
31002010210101122220110121012220
4302201220113213221203201
5213111221033020331431
62104335233324141253
764543250362016460
oct6241502747514341
91063711586417186
10222213414230241
11648931a8272065
1220b0a546997829
1396cb83427c595
143cc32881a89d7
151aa5432d4db96
hexca1a179e98e1

222213414230241 has 64 divisors (see below), whose sum is σ = 345966506096640. Its totient is φ = 124248821598720.

The previous prime is 222213414230207. The next prime is 222213414230257. The reversal of 222213414230241 is 142032414312222.

It is not a de Polignac number, because 222213414230241 - 215 = 222213414197473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222213414230741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725420370 + ... + 725726628.

It is an arithmetic number, because the mean of its divisors is an integer number (5405726657760).

Almost surely, 2222213414230241 is an apocalyptic number.

222213414230241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222213414230241 is a deficient number, since it is larger than the sum of its proper divisors (123753091866399).

222213414230241 is a wasteful number, since it uses less digits than its factorization.

222213414230241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310086.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 222213414230241 its reverse (142032414312222), we get a palindrome (364245828542463).

The spelling of 222213414230241 in words is "two hundred twenty-two trillion, two hundred thirteen billion, four hundred fourteen million, two hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 7 21 73 131 219 393 511 917 1533 2751 3613 9563 10839 25291 28689 66941 75873 200823 263749 306259 473303 791247 918777 1419909 1846243 2143813 3313121 5538729 6431439 9939363 22356907 34551119 40119929 67070721 103653357 120359787 156498349 241857833 280839503 469495047 725573499 842518509 1106513767 2928754817 3319541301 7745596369 8786264451 20501283719 23236789107 61503851157 80775504991 144953303477 242326514973 434859910431 565428534937 1014673124339 1696285604811 3044019373017 10581591153821 31744773461463 74071138076747 222213414230241