Search a number
-
+
218300706 = 232131754877
BaseRepresentation
bin11010000001100…
…00000100100010
3120012202211021100
431000300010202
5421341110311
633354535230
75260345131
oct1500600442
9505684240
10218300706
11102252608
1261137516
13362c4120
1420dc7918
1514271a56
hexd030122

218300706 has 48 divisors (see below), whose sum is σ = 539340984. Its totient is φ = 63217152.

The previous prime is 218300699. The next prime is 218300717. The reversal of 218300706 is 607003812.

218300706 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 216354681 + 1946025 = 14709^2 + 1395^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 218300706.

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, 23461 + ... + 31416.

Almost surely, 2218300706 is an apocalyptic number.

218300706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

218300706 is an abundant number, since it is smaller than the sum of its proper divisors (321040278).

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

218300706 is a wasteful number, since it uses less digits than its factorization.

218300706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54915 (or 54912 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 218300706 is about 14775.0027411165. The cubic root of 218300706 is about 602.1227642629.

The spelling of 218300706 in words is "two hundred eighteen million, three hundred thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 54877 109754 164631 329262 493893 713401 932909 987786 1426802 1865818 2140203 2798727 4280406 5597454 6420609 8396181 12127817 12841218 16792362 24255634 36383451 72766902 109150353 218300706