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216419819 = 7211478543
BaseRepresentation
bin11001110011001…
…00110111101011
3120002020021011212
430321210313223
5420400413234
633250343335
75235352400
oct1471446753
9502207155
10216419819
11101188460
126058ab4b
1335ab5c85
1420a582a7
1513eee5ce
hexce64deb

216419819 has 24 divisors (see below), whose sum is σ = 280516608. Its totient is φ = 165031440.

The previous prime is 216419783. The next prime is 216419839. The reversal of 216419819 is 918914612.

It is not a de Polignac number, because 216419819 - 212 = 216415723 is a prime.

It is a super-2 number, since 2×2164198192 = 93675076111985522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216419839) 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 23 ways as a sum of consecutive naturals, for example, 21062 + ... + 29604.

It is an arithmetic number, because the mean of its divisors is an integer number (11688192).

Almost surely, 2216419819 is an apocalyptic number.

216419819 is a deficient number, since it is larger than the sum of its proper divisors (64096789).

216419819 is a wasteful number, since it uses less digits than its factorization.

216419819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8608 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The square root of 216419819 is about 14711.2140559507. The cubic root of 216419819 is about 600.3884697275.

The spelling of 216419819 in words is "two hundred sixteen million, four hundred nineteen thousand, eight hundred nineteen".

Divisors: 1 7 11 47 49 77 329 517 539 2303 3619 8543 25333 59801 93973 401521 418607 657811 2810647 4416731 4604677 19674529 30917117 216419819