Search a number
-
+
218256605 = 5743145021
BaseRepresentation
bin11010000001001…
…01010011011101
3120012200120202222
431000211103131
5421333202410
633353555125
75260102430
oct1500452335
9505616688
10218256605
11102222466
1261115aa5
13362aa028
1420db5817
1514263955
hexd0254dd

218256605 has 16 divisors (see below), whose sum is σ = 306286464. Its totient is φ = 146180160.

The previous prime is 218256601. The next prime is 218256607. The reversal of 218256605 is 506652812.

218256605 = 2762 + 2772 + ... + 8772.

It is not a de Polignac number, because 218256605 - 22 = 218256601 is a prime.

It is a super-2 number, since 2×2182566052 = 95271891252252050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218256601) 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 15 ways as a sum of consecutive naturals, for example, 71006 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (19142904).

Almost surely, 2218256605 is an apocalyptic number.

It is an amenable number.

218256605 is a deficient number, since it is larger than the sum of its proper divisors (88029859).

218256605 is a wasteful number, since it uses less digits than its factorization.

218256605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145076.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 218256605 is about 14773.5102463836. The cubic root of 218256605 is about 602.0822146851.

The spelling of 218256605 in words is "two hundred eighteen million, two hundred fifty-six thousand, six hundred five".

Divisors: 1 5 7 35 43 215 301 1505 145021 725105 1015147 5075735 6235903 31179515 43651321 218256605