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8221267969 is a prime number
BaseRepresentation
bin1111010100000011…
…01001100000000001
3210012221202200111021
413222001221200001
5113314121033334
63435442145441
7410505424165
oct75201514001
923187680437
108221267969
113539767342
121715352281
13a10335a05
1457dc24ca5
15331b563b4
hex1ea069801

8221267969 has 2 divisors, whose sum is σ = 8221267970. Its totient is φ = 8221267968.

The previous prime is 8221267963. The next prime is 8221267973. The reversal of 8221267969 is 9697621228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8219779569 + 1488400 = 90663^2 + 1220^2 .

It is a cyclic number.

It is not a de Polignac number, because 8221267969 - 23 = 8221267961 is a prime.

It is a super-3 number, since 3×82212679693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (8221267961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4110633984 + 4110633985.

It is an arithmetic number, because the mean of its divisors is an integer number (4110633985).

Almost surely, 28221267969 is an apocalyptic number.

It is an amenable number.

8221267969 is a deficient number, since it is larger than the sum of its proper divisors (1).

8221267969 is an equidigital number, since it uses as much as digits as its factorization.

8221267969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1306368, while the sum is 52.

The square root of 8221267969 is about 90671.2080486413. The cubic root of 8221267969 is about 2018.2715640599.

The spelling of 8221267969 in words is "eight billion, two hundred twenty-one million, two hundred sixty-seven thousand, nine hundred sixty-nine".