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216485319 = 32971101347
BaseRepresentation
bin11001110011101…
…00110111000111
3120002100121000210
430321310313013
5420410012234
633252010503
75236044351
oct1471646707
9502317023
10216485319
11101222696
1260600a33
1335b09a2b
1420a740d1
1514013be9
hexce74dc7

216485319 has 32 divisors (see below), whose sum is σ = 306685440. Its totient is φ = 135632000.

The previous prime is 216485317. The next prime is 216485329. The reversal of 216485319 is 913584612.

It is a cyclic number.

It is not a de Polignac number, because 216485319 - 21 = 216485317 is a prime.

It is a super-3 number, since 3×2164853193 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216485317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623704 + ... + 624050.

It is an arithmetic number, because the mean of its divisors is an integer number (9583920).

Almost surely, 2216485319 is an apocalyptic number.

216485319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

216485319 is a deficient number, since it is larger than the sum of its proper divisors (90200121).

216485319 is a wasteful number, since it uses less digits than its factorization.

216485319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its digits is 51840, while the sum is 39.

The square root of 216485319 is about 14713.4400804163. The cubic root of 216485319 is about 600.4490333091.

The spelling of 216485319 in words is "two hundred sixteen million, four hundred eighty-five thousand, three hundred nineteen".

Divisors: 1 3 29 71 87 101 213 303 347 1041 2059 2929 6177 7171 8787 10063 21513 24637 30189 35047 73911 105141 207959 623877 714473 1016363 2143419 2488337 3049089 7465011 72161773 216485319