Search a number
-
+
14220689197 = 11213292571213
BaseRepresentation
bin11010011111001111…
…00111111100101101
31100201001201212020111
431033213213330231
5213110444023242
610311034420021
71012254602161
oct151747477455
940631655214
1014220689197
116038232300
12290a591611
13145825b1c0
1498c922ca1
155836c7817
hex34f9e7f2d

14220689197 has 48 divisors (see below), whose sum is σ = 17496022320. Its totient is φ = 11467653120.

The previous prime is 14220689177. The next prime is 14220689221. The reversal of 14220689197 is 79198602241.

It can be written as a sum of positive squares in 8 ways, for example, as 292204836 + 13928484361 = 17094^2 + 118019^2 .

It is not a de Polignac number, because 14220689197 - 211 = 14220687149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14220689197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220689177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11722963 + ... + 11724175.

It is an arithmetic number, because the mean of its divisors is an integer number (364500465).

Almost surely, 214220689197 is an apocalyptic number.

It is an amenable number.

14220689197 is a deficient number, since it is larger than the sum of its proper divisors (3275333123).

14220689197 is a wasteful number, since it uses less digits than its factorization.

14220689197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 14220689197 in words is "fourteen billion, two hundred twenty million, six hundred eighty-nine thousand, one hundred ninety-seven".

Divisors: 1 11 13 29 121 143 257 319 377 1213 1573 2827 3341 3509 4147 7453 13343 15769 31097 35177 36751 45617 81983 96889 146773 173459 311741 386947 404261 457301 901813 1065779 1908049 3429151 4052633 4256417 5030311 9040489 11723569 37720661 44578963 55333421 99445379 117526357 490368593 1093899169 1292789927 14220689197