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214318409 is a prime number
BaseRepresentation
bin11001100011000…
…11110101001001
3112221021111120212
430301203311021
5414331142114
633133330505
75211451004
oct1461436511
9487244525
10214318409
11aaa82658
125b936a35
133552b636
142066c53b
1513c36b3e
hexcc63d49

214318409 has 2 divisors, whose sum is σ = 214318410. Its totient is φ = 214318408.

The previous prime is 214318373. The next prime is 214318421. The reversal of 214318409 is 904813412.

It is a happy number.

214318409 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., 135606025 + 78712384 = 11645^2 + 8872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214318409 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214318009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107159204 + 107159205.

It is an arithmetic number, because the mean of its divisors is an integer number (107159205).

Almost surely, 2214318409 is an apocalyptic number.

It is an amenable number.

214318409 is a deficient number, since it is larger than the sum of its proper divisors (1).

214318409 is an equidigital number, since it uses as much as digits as its factorization.

214318409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 214318409 is about 14639.6177887266. The cubic root of 214318409 is about 598.4389131653.

The spelling of 214318409 in words is "two hundred fourteen million, three hundred eighteen thousand, four hundred nine".