Search a number
-
+
218117943 = 32136117807
BaseRepresentation
bin11010000000000…
…11011100110111
3120012102112120100
431000003130313
5421314233233
633351005143
75255654241
oct1500033467
9505375510
10218117943
1110213826a
12610697b3
133625bb94
1420d7b091
1514237813
hexd003737

218117943 has 12 divisors (see below), whose sum is σ = 315308448. Its totient is φ = 145296960.

The previous prime is 218117927. The next prime is 218117957. The reversal of 218117943 is 349711812.

It is a happy number.

It is not a de Polignac number, because 218117943 - 24 = 218117927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218117898 and 218117907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218117143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 21152.

It is an arithmetic number, because the mean of its divisors is an integer number (26275704).

Almost surely, 2218117943 is an apocalyptic number.

218117943 is a deficient number, since it is larger than the sum of its proper divisors (97190505).

218117943 is a wasteful number, since it uses less digits than its factorization.

218117943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19174 (or 19171 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 218117943 is about 14768.8165741199. The cubic root of 218117943 is about 601.9546834392.

The spelling of 218117943 in words is "two hundred eighteen million, one hundred seventeen thousand, nine hundred forty-three".

Divisors: 1 3 9 1361 4083 12249 17807 53421 160263 24235327 72705981 218117943