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2226192313849 = 722131492
BaseRepresentation
bin100000011001010011011…
…001101110110111111001
321212211012011120221101121
4200121103121232313321
5242433220213020344
64422410523145241
7316560056310100
oct40312331566771
97784164527347
102226192313849
11789139585059
122bb54b375221
13131c1011c8ba
1479a69407037
153cd95b42684
hex2065366edf9

2226192313849 has 9 divisors (see below), whose sum is σ = 2589664433007. Its totient is φ = 1908155888184.

The previous prime is 2226192313843. The next prime is 2226192313859. The reversal of 2226192313849 is 9483132916222.

The square root of 2226192313849 is 1492043.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1576137126249 + 650055187600 = 1255443^2 + 806260^2 .

It is not a de Polignac number, because 2226192313849 - 221 = 2226190216697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2226192313796 and 2226192313805.

It is not an unprimeable number, because it can be changed into a prime (2226192313843) 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 8 ways as a sum of consecutive naturals, for example, 10337727 + ... + 10550875.

Almost surely, 22226192313849 is an apocalyptic number.

2226192313849 is the 1492043-rd square number.

2226192313849 is the 746022-nd centered octagonal number.

It is an amenable number.

2226192313849 is a deficient number, since it is larger than the sum of its proper divisors (363472119158).

2226192313849 is an frugal number, since it uses more digits than its factorization.

2226192313849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426312 (or 213156 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The spelling of 2226192313849 in words is "two trillion, two hundred twenty-six billion, one hundred ninety-two million, three hundred thirteen thousand, eight hundred forty-nine".

Divisors: 1 7 49 213149 1492043 10444301 45432496201 318027473407 2226192313849