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216753327 = 357791613
BaseRepresentation
bin11001110101101…
…10010010101111
3120002212012200000
430322312102233
5420442101302
633301435343
75241241620
oct1472662257
9502765600
10216753327
11101395a8a
126070bb53
1335ba1a0b
1420b03a47
151406831c
hexceb64af

216753327 has 48 divisors (see below), whose sum is σ = 375997440. Its totient is φ = 122215392.

The previous prime is 216753307. The next prime is 216753377. The reversal of 216753327 is 723357612.

It is not a de Polignac number, because 216753327 - 218 = 216491183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216753291 and 216753300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216753307) 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 47 ways as a sum of consecutive naturals, for example, 133573 + ... + 135185.

It is an arithmetic number, because the mean of its divisors is an integer number (7833280).

Almost surely, 2216753327 is an apocalyptic number.

216753327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216753327 is a deficient number, since it is larger than the sum of its proper divisors (159244113).

216753327 is an equidigital number, since it uses as much as digits as its factorization.

216753327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 216753327 is about 14722.5448547457. The cubic root of 216753327 is about 600.6967156657.

The spelling of 216753327 in words is "two hundred sixteen million, seven hundred fifty-three thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 243 553 567 711 1613 1659 1701 2133 4839 4977 6399 11291 14517 14931 19197 33873 43551 44793 101619 127427 130653 134379 304857 382281 391959 891989 914571 1146843 2675967 2743713 3440529 8027901 10321587 24083703 30964761 72251109 216753327