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216323316 = 223211253937
BaseRepresentation
bin11001110010011…
…01010011110100
3120002001100210200
430321031103310
5420334321231
633244320500
75234501136
oct1471152364
9502040720
10216323316
11101121a00
1260543130
1335a81081
1420a31056
1513ed0be6
hexce4d4f4

216323316 has 108 divisors (see below), whose sum is σ = 613041156. Its totient is φ = 64247040.

The previous prime is 216323299. The next prime is 216323321. The reversal of 216323316 is 613323612.

It is a happy number.

216323316 is a `hidden beast` number, since 21 + 6 + 323 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73616400 + 142706916 = 8580^2 + 11946^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216323316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230400 + ... + 231336.

It is an arithmetic number, because the mean of its divisors is an integer number (5676307).

Almost surely, 2216323316 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 216323316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306520578).

216323316 is an abundant number, since it is smaller than the sum of its proper divisors (396717840).

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

216323316 is a wasteful number, since it uses less digits than its factorization.

216323316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1006 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 216323316 is about 14707.9337773870. The cubic root of 216323316 is about 600.2992174234.

Adding to 216323316 its reverse (613323612), we get a palindrome (829646928).

The spelling of 216323316 in words is "two hundred sixteen million, three hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 198 212 242 318 363 396 477 484 583 636 726 937 954 1089 1166 1452 1749 1874 1908 2178 2332 2811 3498 3748 4356 5247 5622 6413 6996 8433 10307 10494 11244 12826 16866 19239 20614 20988 25652 30921 33732 38478 41228 49661 57717 61842 76956 92763 99322 113377 115434 123684 148983 185526 198644 226754 230868 297966 340131 371052 446949 453508 546271 595932 680262 893898 1020393 1092542 1360524 1638813 1787796 2040786 2185084 3277626 4081572 4916439 6008981 6555252 9832878 12017962 18026943 19665756 24035924 36053886 54080829 72107772 108161658 216323316