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117212216 = 23112196373
BaseRepresentation
bin1101111110010…
…00010000111000
322011112222221012
412333020100320
5220001242331
615344133052
72622200402
oct677102070
9264488835
10117212216
1160188300
1233307188
131b38c054
14117d1b72
15a45482b
hex6fc8438

117212216 has 48 divisors (see below), whose sum is σ = 254322600. Its totient is φ = 50466240.

The previous prime is 117212213. The next prime is 117212233. The reversal of 117212216 is 612212711.

It is a junction number, because it is equal to n+sod(n) for n = 117212191 and 117212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117212213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15206 + ... + 21578.

Almost surely, 2117212216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117212216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127161300).

117212216 is an abundant number, since it is smaller than the sum of its proper divisors (137110384).

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

117212216 is a wasteful number, since it uses less digits than its factorization.

117212216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6405 counting only the distinct ones).

The product of its digits is 336, while the sum is 23.

The square root of 117212216 is about 10826.4590702593. The cubic root of 117212216 is about 489.3928562366.

Adding to 117212216 its reverse (612212711), we get a palindrome (729424927).

The spelling of 117212216 in words is "one hundred seventeen million, two hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 6373 9196 12746 18392 25492 50984 70103 121087 140206 242174 280412 484348 560824 771133 968696 1331957 1542266 2663914 3084532 5327828 6169064 10655656 14651527 29303054 58606108 117212216