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214085775 = 35211812417
BaseRepresentation
bin11001100001010…
…11000010001111
3112220211200110210
430300223002033
5414301221100
633124333503
75206461531
oct1460530217
9486750423
10214085775
11aa9338a2
125b844293
1335479797
142060b851
1513bdcc50
hexcc2b08f

214085775 has 24 divisors (see below), whose sum is σ = 354401424. Its totient is φ = 114035200.

The previous prime is 214085747. The next prime is 214085779. The reversal of 214085775 is 577580412.

It is not a de Polignac number, because 214085775 - 214 = 214069391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214085779) 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 23 ways as a sum of consecutive naturals, for example, 87367 + ... + 89783.

It is an arithmetic number, because the mean of its divisors is an integer number (14766726).

Almost surely, 2214085775 is an apocalyptic number.

214085775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214085775 is a deficient number, since it is larger than the sum of its proper divisors (140315649).

214085775 is a wasteful number, since it uses less digits than its factorization.

214085775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 214085775 is about 14631.6702737589. The cubic root of 214085775 is about 598.2223076627. Note that the first 3 decimals are identical.

The spelling of 214085775 in words is "two hundred fourteen million, eighty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 15 25 75 1181 2417 3543 5905 7251 12085 17715 29525 36255 60425 88575 181275 2854477 8563431 14272385 42817155 71361925 214085775