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216314322 = 2373891181
BaseRepresentation
bin11001110010010…
…11000111010010
3120002000220110120
430321023013102
5420334024242
633244211110
75234433000
oct1471130722
9502026416
10216314322
11101116174
1260539a96
1335a79c53
1420a2ba70
1513ecd1ec
hexce4b1d2

216314322 has 64 divisors (see below), whose sum is σ = 510624000. Its totient is φ = 61057920.

The previous prime is 216314309. The next prime is 216314323. The reversal of 216314322 is 223413612.

216314322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216314292 and 216314301.

It is not an unprimeable number, because it can be changed into a prime (216314323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182572 + ... + 183752.

It is an arithmetic number, because the mean of its divisors is an integer number (7978500).

Almost surely, 2216314322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216314322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255312000).

216314322 is an abundant number, since it is smaller than the sum of its proper divisors (294309678).

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

216314322 is a wasteful number, since it uses less digits than its factorization.

216314322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 216314322 is about 14707.6280208605. The cubic root of 216314322 is about 600.2908978302.

Adding to 216314322 its reverse (223413612), we get a palindrome (439727934).

The spelling of 216314322 in words is "two hundred sixteen million, three hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 343 534 623 686 1029 1181 1246 1869 2058 2362 3543 3738 4361 7086 8267 8722 13083 16534 24801 26166 30527 49602 57869 61054 91581 105109 115738 173607 183162 210218 315327 347214 405083 630654 735763 810166 1215249 1471526 2207289 2430498 4414578 5150341 10300682 15451023 30902046 36052387 72104774 108157161 216314322