Search a number
-
+
218953117 is a prime number
BaseRepresentation
bin11010000110011…
…11010110011101
3120020222222012201
431003033112131
5422022444432
633420531501
75266033165
oct1503172635
9506888181
10218953117
11102658799
12613b0b91
1336492076
14211175a5
151434eee7
hexd0cf59d

218953117 has 2 divisors, whose sum is σ = 218953118. Its totient is φ = 218953116.

The previous prime is 218953099. The next prime is 218953121. The reversal of 218953117 is 711359812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209989081 + 8964036 = 14491^2 + 2994^2 .

It is a cyclic number.

It is not a de Polignac number, because 218953117 - 211 = 218951069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218953127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109476558 + 109476559.

It is an arithmetic number, because the mean of its divisors is an integer number (109476559).

Almost surely, 2218953117 is an apocalyptic number.

It is an amenable number.

218953117 is a deficient number, since it is larger than the sum of its proper divisors (1).

218953117 is an equidigital number, since it uses as much as digits as its factorization.

218953117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 37.

The square root of 218953117 is about 14797.0644723878. The cubic root of 218953117 is about 602.7220001108.

The spelling of 218953117 in words is "two hundred eighteen million, nine hundred fifty-three thousand, one hundred seventeen".