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222040224200241 = 32104923518718801
BaseRepresentation
bin110010011111000111000100…
…101100000111011000110001
31002010011211121222212111121100
4302133013010230013120301
5213100401334343401431
62104123512032515013
764524606514034346
oct6237070454073061
91063154558774540
10222040224200241
1164826803a91167
1220aa0a719aba69
1396b83c34679a5
143cb8b389c07cd
151aa0b984244e6
hexc9f1c4b07631

222040224200241 has 12 divisors (see below), whose sum is σ = 321030511647300. Its totient is φ = 147885703814400.

The previous prime is 222040224200219. The next prime is 222040224200243. The reversal of 222040224200241 is 142002422040222.

It can be written as a sum of positive squares in 2 ways, for example, as 186660080769600 + 35380143430641 = 13662360^2 + 5948121^2 .

It is not a de Polignac number, because 222040224200241 - 231 = 222038076716593 is a prime.

It is a super-2 number, since 2×2220402242002412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222040224200243) 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 11 ways as a sum of consecutive naturals, for example, 11759349960 + ... + 11759368841.

It is an arithmetic number, because the mean of its divisors is an integer number (26752542637275).

Almost surely, 2222040224200241 is an apocalyptic number.

It is an amenable number.

222040224200241 is a deficient number, since it is larger than the sum of its proper divisors (98990287447059).

222040224200241 is a wasteful number, since it uses less digits than its factorization.

222040224200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23518719856 (or 23518719853 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 222040224200241 its reverse (142002422040222), we get a palindrome (364042646240463).

The spelling of 222040224200241 in words is "two hundred twenty-two trillion, forty billion, two hundred twenty-four million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 9 1049 3147 9441 23518718801 70556156403 211668469209 24671136022249 74013408066747 222040224200241