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2205242610229 is a prime number
BaseRepresentation
bin100000000101110010101…
…100111101001000110101
321210211010011000201200201
4200011302230331020311
5242112314102011404
64405024030240501
7315215652623011
oct40056254751065
97724104021621
102205242610229
11780268a6570a
122b7483356131
1312cc51a68079
1478a3cd47541
153c56b82cca4
hex20172b3d235

2205242610229 has 2 divisors, whose sum is σ = 2205242610230. Its totient is φ = 2205242610228.

The previous prime is 2205242610191. The next prime is 2205242610253. The reversal of 2205242610229 is 9220162425022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1265845509604 + 939397100625 = 1125098^2 + 969225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2205242610229 is a prime.

It is a super-2 number, since 2×22052426102292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205242610029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102621305114 + 1102621305115.

It is an arithmetic number, because the mean of its divisors is an integer number (1102621305115).

Almost surely, 22205242610229 is an apocalyptic number.

It is an amenable number.

2205242610229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205242610229 is an equidigital number, since it uses as much as digits as its factorization.

2205242610229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 2205242610229 in words is "two trillion, two hundred five billion, two hundred forty-two million, six hundred ten thousand, two hundred twenty-nine".