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214160517 = 36293773
BaseRepresentation
bin11001100001111…
…01010010000101
3112220222111000000
430300331102011
5414311114032
633130111513
75210222454
oct1460752205
9486874000
10214160517
11aa984a6a
125b87b599
13354a47cc
142062ab9b
1513c04e7c
hexcc3d485

214160517 has 14 divisors (see below), whose sum is σ = 321094982. Its totient is φ = 142773192.

The previous prime is 214160483. The next prime is 214160519. The reversal of 214160517 is 715061412.

It is a happy number.

214160517 is a `hidden beast` number, since 2 + 1 + 41 + 605 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214153956 + 6561 = 14634^2 + 81^2 .

It is not a de Polignac number, because 214160517 - 222 = 209966213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214160519) 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 13 ways as a sum of consecutive naturals, for example, 146158 + ... + 147615.

Almost surely, 2214160517 is an apocalyptic number.

214160517 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

214160517 is a deficient number, since it is larger than the sum of its proper divisors (106934465).

214160517 is an frugal number, since it uses more digits than its factorization.

214160517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293791 (or 293776 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 214160517 is about 14634.2241680248. The cubic root of 214160517 is about 598.2919170352.

The spelling of 214160517 in words is "two hundred fourteen million, one hundred sixty thousand, five hundred seventeen".

Divisors: 1 3 9 27 81 243 729 293773 881319 2643957 7931871 23795613 71386839 214160517