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22212000509 is a prime number
BaseRepresentation
bin10100101011111100…
…000011101011111101
32010022222210112111112
4110223330003223331
5330442233004014
614112024131405
71414301613656
oct245374035375
963288715445
1022212000509
119469105816
12437a906b65
13212ca4b58a
141109da852d
158a005873e
hex52bf03afd

22212000509 has 2 divisors, whose sum is σ = 22212000510. Its totient is φ = 22212000508.

The previous prime is 22212000449. The next prime is 22212000511. The reversal of 22212000509 is 90500021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12040672900 + 10171327609 = 109730^2 + 100853^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212000509 - 212 = 22211996413 is a prime.

It is a super-2 number, since 2×222120005092 (a number of 21 digits) contains 22 as substring.

Together with 22212000511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212000589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106000254 + 11106000255.

It is an arithmetic number, because the mean of its divisors is an integer number (11106000255).

Almost surely, 222212000509 is an apocalyptic number.

It is an amenable number.

22212000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212000509 is an equidigital number, since it uses as much as digits as its factorization.

22212000509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 22212000509 in words is "twenty-two billion, two hundred twelve million, five hundred nine", and thus it is an aban number.