Search a number
-
+
218265972 = 22318188831
BaseRepresentation
bin11010000001001…
…11100101110100
3120012201001121220
431000213211310
5421334002342
633354110340
75260141641
oct1500474564
9505631556
10218265972
11102229501
126111b3b0
13362b1382
1420db8dc8
15142665ec
hexd027974

218265972 has 12 divisors (see below), whose sum is σ = 509287296. Its totient is φ = 72755320.

The previous prime is 218265959. The next prime is 218265973. The reversal of 218265972 is 279562812.

218265972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218265973) 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 3 ways as a sum of consecutive naturals, for example, 9094404 + ... + 9094427.

It is an arithmetic number, because the mean of its divisors is an integer number (42440608).

Almost surely, 2218265972 is an apocalyptic number.

It is an amenable number.

218265972 is an abundant number, since it is smaller than the sum of its proper divisors (291021324).

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

218265972 is a wasteful number, since it uses less digits than its factorization.

218265972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18188838 (or 18188836 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 218265972 is about 14773.8272631028. The cubic root of 218265972 is about 602.0908278241.

The spelling of 218265972 in words is "two hundred eighteen million, two hundred sixty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 18188831 36377662 54566493 72755324 109132986 218265972