Search a number
-
+
216110016 = 2632419151
BaseRepresentation
bin11001110000110…
…01001111000000
3120001122112012200
430320121033000
5420311010031
633235553200
75232622233
oct1470311700
9501575180
10216110016
11100a96721
126045b800
1335a07c65
14209b741a
1513e8c8e6
hexce193c0

216110016 has 84 divisors (see below), whose sum is σ = 634617984. Its totient is φ = 70272000.

The previous prime is 216109997. The next prime is 216110017. The reversal of 216110016 is 610011612.

216110016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216110017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19041 + ... + 28191.

It is an arithmetic number, because the mean of its divisors is an integer number (7554976).

Almost surely, 2216110016 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 216110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317308992).

216110016 is an abundant number, since it is smaller than the sum of its proper divisors (418507968).

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

216110016 is a wasteful number, since it uses less digits than its factorization.

216110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 216110016 is about 14700.6808005616. The cubic root of 216110016 is about 600.1018493769.

Adding to 216110016 its reverse (610011612), we get a palindrome (826121628).

The spelling of 216110016 in words is "two hundred sixteen million, one hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 9151 11808 18302 23616 27453 36604 54906 73208 82359 109812 146416 164718 219624 292832 329436 375191 439248 585664 658872 750382 878496 1125573 1317744 1500764 1756992 2251146 2635488 3001528 3376719 4502292 5270976 6003056 6753438 9004584 12006112 13506876 18009168 24012224 27013752 36018336 54027504 72036672 108055008 216110016