Search a number
-
+
218116041 = 31113532181
BaseRepresentation
bin11010000000000…
…10111111001001
3120012102102221220
431000002333021
5421314203131
633350552253
75255645553
oct1500027711
9505372856
10218116041
111021368a0
1261068689
133625b060
1420d7a4d3
1514236e96
hexd002fc9

218116041 has 48 divisors (see below), whose sum is σ = 350156352. Its totient is φ = 119059200.

The previous prime is 218116033. The next prime is 218116057. The reversal of 218116041 is 140611812.

It is not a de Polignac number, because 218116041 - 23 = 218116033 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218116141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204971 + ... + 1205151.

It is an arithmetic number, because the mean of its divisors is an integer number (7294924).

Almost surely, 2218116041 is an apocalyptic number.

It is an amenable number.

218116041 is a deficient number, since it is larger than the sum of its proper divisors (132040311).

218116041 is a wasteful number, since it uses less digits than its factorization.

218116041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 218116041 is about 14768.7521815487. The cubic root of 218116041 is about 601.9529337419.

Adding to 218116041 its reverse (140611812), we get a palindrome (358727853).

The spelling of 218116041 in words is "two hundred eighteen million, one hundred sixteen thousand, forty-one".

Divisors: 1 3 11 13 33 39 53 143 159 181 429 543 583 689 1749 1991 2067 2353 2809 5973 7059 7579 8427 9593 22737 25883 28779 30899 36517 77649 92697 105523 109551 124709 316569 374127 401687 508429 1205061 1371799 1525287 4115397 5592719 6609577 16778157 19828731 72705347 218116041