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216514816 = 287120823
BaseRepresentation
bin11001110011111…
…00000100000000
3120002102002111021
430321330010000
5420411433231
633252355224
75236226350
oct1471740400
9502362437
10216514816
11101242871
1260615b14
1335b1a29b
1420a80b60
151401c811
hexce7c100

216514816 has 36 divisors (see below), whose sum is σ = 493928512. Its totient is φ = 92791296.

The previous prime is 216514813. The next prime is 216514817. The reversal of 216514816 is 618415612.

It is not an unprimeable number, because it can be changed into a prime (216514813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58620 + ... + 62203.

Almost surely, 2216514816 is an apocalyptic number.

It is an amenable number.

216514816 is an abundant number, since it is smaller than the sum of its proper divisors (277413696).

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

216514816 is an equidigital number, since it uses as much as digits as its factorization.

216514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120846 (or 120832 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 216514816 is about 14714.4424291238. The cubic root of 216514816 is about 600.4763032734.

The spelling of 216514816 in words is "two hundred sixteen million, five hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 120823 241646 483292 845761 966584 1691522 1933168 3383044 3866336 6766088 7732672 13532176 15465344 27064352 30930688 54128704 108257408 216514816