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214553657 is a prime number
BaseRepresentation
bin11001100100111…
…01010000111001
3112221201110021202
430302131100321
5414411204112
633142343545
75213450603
oct1462352071
9487643252
10214553657
1110012337a
125ba2abb5
13355b1736
14206d0173
1513c816c2
hexcc9d439

214553657 has 2 divisors, whose sum is σ = 214553658. Its totient is φ = 214553656.

The previous prime is 214553609. The next prime is 214553659. The reversal of 214553657 is 756355412.

It is a happy number.

214553657 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., 213043216 + 1510441 = 14596^2 + 1229^2 .

It is a cyclic number.

It is not a de Polignac number, because 214553657 - 28 = 214553401 is a prime.

Together with 214553659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214553657.

It is not a weakly prime, because it can be changed into another prime (214553659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107276828 + 107276829.

It is an arithmetic number, because the mean of its divisors is an integer number (107276829).

Almost surely, 2214553657 is an apocalyptic number.

It is an amenable number.

214553657 is a deficient number, since it is larger than the sum of its proper divisors (1).

214553657 is an equidigital number, since it uses as much as digits as its factorization.

214553657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126000, while the sum is 38.

The square root of 214553657 is about 14647.6502211106. The cubic root of 214553657 is about 598.6577932257.

The spelling of 214553657 in words is "two hundred fourteen million, five hundred fifty-three thousand, six hundred fifty-seven".