Search a number
-
+
181800216 = 233213434517
BaseRepresentation
bin10101101011000…
…00110100011000
3110200002102000100
422311200310120
5333020101331
630012335400
74335163533
oct1265406430
9420072010
10181800216
1193692214
1250a74560
132b8843c0
141a205a1a
1510e61ae6
hexad60d18

181800216 has 96 divisors (see below), whose sum is σ = 542702160. Its totient is φ = 54625536.

The previous prime is 181800209. The next prime is 181800221. The reversal of 181800216 is 612008181.

It is a self number, because there is not a number n which added to its sum of digits gives 181800216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37990 + ... + 42506.

Almost surely, 2181800216 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 181800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271351080).

181800216 is an abundant number, since it is smaller than the sum of its proper divisors (360901944).

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

181800216 is a wasteful number, since it uses less digits than its factorization.

181800216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 181800216 is about 13483.3310424390. The cubic root of 181800216 is about 566.4976747907.

Adding to 181800216 its reverse (612008181), we get a palindrome (793808397).

The spelling of 181800216 in words is "one hundred eighty-one million, eight hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 4517 5031 6708 9034 10062 13416 13551 18068 20124 27102 36136 40248 40653 54204 58721 81306 108408 117442 162612 176163 194231 234884 325224 352326 388462 469768 528489 582693 704652 776924 1056978 1165386 1409304 1553848 1748079 2113956 2330772 2525003 3496158 4227912 4661544 5050006 6992316 7575009 10100012 13984632 15150018 20200024 22725027 30300036 45450054 60600072 90900108 181800216