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216316716 = 2237111931213
BaseRepresentation
bin11001110010010…
…11101100101100
3120002001000202020
430321023230230
5420334113331
633244230140
75234442660
oct1471135454
9502030666
10216316716
11101117a50
126053b350
1335a7b075
1420a2c8a0
1513ecdc96
hexce4bb2c

216316716 has 96 divisors (see below), whose sum is σ = 633067008. Its totient is φ = 55848960.

The previous prime is 216316673. The next prime is 216316717. The reversal of 216316716 is 617613612.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (216316717) 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, 177726 + ... + 178938.

It is an arithmetic number, because the mean of its divisors is an integer number (6594448).

Almost surely, 2216316716 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 216316716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316533504).

216316716 is an abundant number, since it is smaller than the sum of its proper divisors (416750292).

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

216316716 is a wasteful number, since it uses less digits than its factorization.

216316716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 216316716 is about 14707.7094069743. The cubic root of 216316716 is about 600.2931123408.

The spelling of 216316716 in words is "two hundred sixteen million, three hundred sixteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 193 231 308 386 462 579 772 924 1158 1213 1351 2123 2316 2426 2702 3639 4053 4246 4852 5404 6369 7278 8106 8491 8492 12738 13343 14556 14861 16212 16982 25473 25476 26686 29722 33964 40029 44583 50946 53372 59444 80058 89166 93401 101892 160116 178332 186802 234109 280203 373604 468218 560406 702327 936436 1120812 1404654 1638763 2575199 2809308 3277526 4916289 5150398 6555052 7725597 9832578 10300796 15451194 18026393 19665156 30902388 36052786 54079179 72105572 108158358 216316716