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214006353 = 31117433881
BaseRepresentation
bin11001100000101…
…11101001010001
3112220200122112020
430300113221101
5414241200403
633122522053
75206011141
oct1460275121
9486618466
10214006353
11aa88a160
125b806329
133544c5a2
14205ca921
1513bc4453
hexcc17a51

214006353 has 32 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 121651200.

The previous prime is 214006343. The next prime is 214006357. The reversal of 214006353 is 353600412.

It is a happy number.

It is not a de Polignac number, because 214006353 - 214 = 213989969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214006357) 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 in 31 ways as a sum of consecutive naturals, for example, 242473 + ... + 243353.

It is an arithmetic number, because the mean of its divisors is an integer number (10335276).

Almost surely, 2214006353 is an apocalyptic number.

It is an amenable number.

214006353 is a deficient number, since it is larger than the sum of its proper divisors (116722479).

214006353 is a wasteful number, since it uses less digits than its factorization.

214006353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 214006353 is about 14628.9559777860. The cubic root of 214006353 is about 598.1483219146.

Adding to 214006353 its reverse (353600412), we get a palindrome (567606765).

The spelling of 214006353 in words is "two hundred fourteen million, six thousand, three hundred fifty-three".

Divisors: 1 3 11 17 33 51 187 433 561 881 1299 2643 4763 7361 9691 14289 14977 22083 29073 44931 80971 164747 242913 381473 494241 1144419 4196203 6485041 12588609 19455123 71335451 214006353