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222240342130121 = 72113102139311773
BaseRepresentation
bin110010100010000001011100…
…101001011011110111001001
31002010212222011120001122111002
4302202001130221123313021
5213112141210041130441
62104355445334344345
764545222566261300
oct6242013451336711
91063788146048432
10222240342130121
11648a366637a877
1220b13800abb0b5
139701236037753
143cc46c05dd437
151aa5eabde0b9b
hexca205ca5bdc9

222240342130121 has 24 divisors (see below), whose sum is σ = 261067761415944. Its totient is φ = 188621026997760.

The previous prime is 222240342130097. The next prime is 222240342130229. The reversal of 222240342130121 is 121031243042222.

It can be written as a sum of positive squares in 4 ways, for example, as 11834728346896 + 210405613783225 = 3440164^2 + 14505365^2 .

It is not a de Polignac number, because 222240342130121 - 238 = 221965464223177 is a prime.

It is a super-2 number, since 2×2222403421301212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222240342130421) 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 23 ways as a sum of consecutive naturals, for example, 14002610 + ... + 25309163.

It is an arithmetic number, because the mean of its divisors is an integer number (10877823392331).

Almost surely, 2222240342130121 is an apocalyptic number.

It is an amenable number.

222240342130121 is a deficient number, since it is larger than the sum of its proper divisors (38827419285823).

222240342130121 is a wasteful number, since it uses less digits than its factorization.

222240342130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39312921 (or 39312914 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 222240342130121 its reverse (121031243042222), we get a palindrome (343271585172343).

The spelling of 222240342130121 in words is "two hundred twenty-two trillion, two hundred forty billion, three hundred forty-two million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 7 49 113 791 1021 5537 7147 50029 115373 807611 5653277 39311773 275182411 1926276877 4442230349 31095612443 40137320233 217669287101 280961241631 1966728691417 4535517186329 31748620304303 222240342130121