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214579009 is a prime number
BaseRepresentation
bin11001100101000…
…11011101000001
3112221202202001201
430302203131001
5414413012014
633143101201
75213614531
oct1462433501
9487682051
10214579009
11100140427
125ba41801
13355c0138
14206d94c1
1513c88e74
hexcca3741

214579009 has 2 divisors, whose sum is σ = 214579010. Its totient is φ = 214579008.

The previous prime is 214579007. The next prime is 214579031. The reversal of 214579009 is 900975412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213978384 + 600625 = 14628^2 + 775^2 .

It is a cyclic number.

It is not a de Polignac number, because 214579009 - 21 = 214579007 is a prime.

It is a super-2 number, since 2×2145790092 = 92088302206844162, which contains 22 as substring.

Together with 214579007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (214579007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107289504 + 107289505.

It is an arithmetic number, because the mean of its divisors is an integer number (107289505).

Almost surely, 2214579009 is an apocalyptic number.

It is an amenable number.

214579009 is a deficient number, since it is larger than the sum of its proper divisors (1).

214579009 is an equidigital number, since it uses as much as digits as its factorization.

214579009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 214579009 is about 14648.5155903252. The cubic root of 214579009 is about 598.6813717481.

The spelling of 214579009 in words is "two hundred fourteen million, five hundred seventy-nine thousand, nine".