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2216257502077 is a prime number
BaseRepresentation
bin100000010000000011001…
…111011011101101111101
321211212112210111012201001
4200100003033123231331
5242302343410031302
64414045025450301
7316055632641223
oct40200317335575
97755483435631
102216257502077
11784a00644a13
122b96381a0991
13130cb8aa7a58
14793a5bb2b13
153c9b385e787
hex204033dbb7d

2216257502077 has 2 divisors, whose sum is σ = 2216257502078. Its totient is φ = 2216257502076.

The previous prime is 2216257502009. The next prime is 2216257502111. The reversal of 2216257502077 is 7702057526122.

2216257502077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2075411915641 + 140845586436 = 1440629^2 + 375294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2216257502077 is a prime.

It is a super-3 number, since 3×22162575020773 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2216257502177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108128751038 + 1108128751039.

It is an arithmetic number, because the mean of its divisors is an integer number (1108128751039).

Almost surely, 22216257502077 is an apocalyptic number.

It is an amenable number.

2216257502077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2216257502077 is an equidigital number, since it uses as much as digits as its factorization.

2216257502077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 2216257502077 in words is "two trillion, two hundred sixteen billion, two hundred fifty-seven million, five hundred two thousand, seventy-seven".