Search a number
-
+
214041512226 = 231272691044217
BaseRepresentation
bin1100011101010111011…
…1100100100100100010
3202110110220212102010210
43013111313210210202
512001324111342401
6242155044234550
721315101556303
oct3072567444442
9673426772123
10214041512226
1182857943163
123559609ba56
1317251403ca9
14a506cc27aa
15587b0574d6
hex31d5de4922

214041512226 has 32 divisors (see below), whose sum is σ = 433058088960. Its totient is φ = 70522171776.

The previous prime is 214041512221. The next prime is 214041512227. The reversal of 214041512226 is 622215140412.

214041512226 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214041512193 and 214041512202.

It is not an unprimeable number, because it can be changed into a prime (214041512221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317131 + ... + 727086.

It is an arithmetic number, because the mean of its divisors is an integer number (13533065280).

Almost surely, 2214041512226 is an apocalyptic number.

214041512226 is an abundant number, since it is smaller than the sum of its proper divisors (219016576734).

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

214041512226 is a wasteful number, since it uses less digits than its factorization.

214041512226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044618.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 214041512226 its reverse (622215140412), we get a palindrome (836256652638).

The spelling of 214041512226 in words is "two hundred fourteen billion, forty-one million, five hundred twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 127 254 269 381 538 762 807 1614 34163 68326 102489 204978 1044217 2088434 3132651 6265302 132615559 265231118 280894373 397846677 561788746 795693354 842683119 1685366238 35673585371 71347170742 107020756113 214041512226