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216508314 = 23113539293
BaseRepresentation
bin11001110011110…
…10011110011010
3120002101202120110
430321322132122
5420411231224
633252305150
75236201401
oct1471723632
9502352513
10216508314
111012389a0
12606121b6
1335b17339
1420a7c638
151401a929
hexce7a79a

216508314 has 32 divisors (see below), whose sum is σ = 473770944. Its totient is φ = 65415680.

The previous prime is 216508307. The next prime is 216508381. The reversal of 216508314 is 413805612.

It is a super-2 number, since 2×2165083142 = 93751700062245192, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18652 + ... + 27944.

It is an arithmetic number, because the mean of its divisors is an integer number (14805342).

Almost surely, 2216508314 is an apocalyptic number.

216508314 is an abundant number, since it is smaller than the sum of its proper divisors (257262630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216508314 is a wasteful number, since it uses less digits than its factorization.

216508314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 216508314 is about 14714.2214880706. The cubic root of 216508314 is about 600.4702923899.

The spelling of 216508314 in words is "two hundred sixteen million, five hundred eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 353 706 1059 2118 3883 7766 9293 11649 18586 23298 27879 55758 102223 204446 306669 613338 3280429 6560858 9841287 19682574 36084719 72169438 108254157 216508314