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216711216 = 24323474337
BaseRepresentation
bin11001110101011…
…00000000110000
3120002210001220100
430322230000300
5420434224331
633300512400
75241005061
oct1472540060
9502701810
10216711216
11101367387
12606ab700
1335b887b7
1420ad2568
151405aae6
hexceac030

216711216 has 60 divisors (see below), whose sum is σ = 608378472. Its totient is φ = 72012288.

The previous prime is 216711193. The next prime is 216711217. The reversal of 216711216 is 612117612.

It is a happy number.

It is a super-2 number, since 2×2167112162 = 93927502280397312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216711216.

It is not an unprimeable number, because it can be changed into a prime (216711217) 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 11 ways as a sum of consecutive naturals, for example, 47800 + ... + 52136.

Almost surely, 2216711216 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 216711216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304189236).

216711216 is an abundant number, since it is smaller than the sum of its proper divisors (391667256).

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

216711216 is a wasteful number, since it uses less digits than its factorization.

216711216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4689 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 216711216 is about 14721.1146317118. The cubic root of 216711216 is about 600.6578118757.

Adding to 216711216 its reverse (612117612), we get a palindrome (828828828).

The spelling of 216711216 in words is "two hundred sixteen million, seven hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 4337 5552 6246 8328 8674 12492 13011 16656 17348 24984 26022 34696 39033 49968 52044 69392 78066 104088 156132 208176 312264 624528 1504939 3009878 4514817 6019756 9029634 12039512 13544451 18059268 24079024 27088902 36118536 54177804 72237072 108355608 216711216