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216993167 = 19291093613
BaseRepresentation
bin11001110111100…
…00110110001111
3120010022101122222
430323300312033
5421022240132
633310525555
75243261066
oct1473606617
9503271588
10216993167
1110153a1a6
12608068bb
1335c56c31
1420b671dd
15140b4412
hexcef0d8f

216993167 has 16 divisors (see below), whose sum is σ = 238524000. Its totient is φ = 196608384.

The previous prime is 216993143. The next prime is 216993173. The reversal of 216993167 is 761399612.

It is a cyclic number.

It is not a de Polignac number, because 216993167 - 28 = 216992911 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216993137) 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 15 ways as a sum of consecutive naturals, for example, 58253 + ... + 61865.

It is an arithmetic number, because the mean of its divisors is an integer number (14907750).

Almost surely, 2216993167 is an apocalyptic number.

216993167 is a deficient number, since it is larger than the sum of its proper divisors (21530833).

216993167 is a wasteful number, since it uses less digits than its factorization.

216993167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770.

The product of its digits is 122472, while the sum is 44.

The square root of 216993167 is about 14730.6879336981. The cubic root of 216993167 is about 600.9181932260.

The spelling of 216993167 in words is "two hundred sixteen million, nine hundred ninety-three thousand, one hundred sixty-seven".

Divisors: 1 19 29 109 551 2071 3161 3613 60059 68647 104777 393817 1990763 7482523 11420693 216993167