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214001357 is a prime number
BaseRepresentation
bin11001100000101…
…10011011001101
3112220200101200012
430300112123031
5414241020412
633122443005
75205660443
oct1460263315
9486611605
10214001357
11aa886429
125b803465
133544a22b
14205c8b93
1513bc2c22
hexcc166cd

214001357 has 2 divisors, whose sum is σ = 214001358. Its totient is φ = 214001356.

The previous prime is 214001341. The next prime is 214001369. The reversal of 214001357 is 753100412.

214001357 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., 111809476 + 102191881 = 10574^2 + 10109^2 .

It is a cyclic number.

It is not a de Polignac number, because 214001357 - 24 = 214001341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214001327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107000678 + 107000679.

It is an arithmetic number, because the mean of its divisors is an integer number (107000679).

Almost surely, 2214001357 is an apocalyptic number.

It is an amenable number.

214001357 is a deficient number, since it is larger than the sum of its proper divisors (1).

214001357 is an equidigital number, since it uses as much as digits as its factorization.

214001357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 214001357 is about 14628.7852195594. The cubic root of 214001357 is about 598.1436672673.

Adding to 214001357 its reverse (753100412), we get a palindrome (967101769).

The spelling of 214001357 in words is "two hundred fourteen million, one thousand, three hundred fifty-seven".