Search a number
-
+
14132202221 = 173189367821
BaseRepresentation
bin11010010100101100…
…00100101011101101
31100110220020020221002
431022112010223231
5212420320432341
610254154050045
71010131510514
oct151226045355
940426206832
1014132202221
115aa2294775
1228a4a19925
131442b18b47
14980c8b67b
1557aa4929b
hex34a584aed

14132202221 has 32 divisors (see below), whose sum is σ = 15681392640. Its totient is φ = 12677068800.

The previous prime is 14132202211. The next prime is 14132202229. The reversal of 14132202221 is 12220223141.

14132202221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14132202221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14132202193 and 14132202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132202229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17212991 + ... + 17213811.

It is an arithmetic number, because the mean of its divisors is an integer number (490043520).

Almost surely, 214132202221 is an apocalyptic number.

It is an amenable number.

14132202221 is a deficient number, since it is larger than the sum of its proper divisors (1549190419).

14132202221 is a wasteful number, since it uses less digits than its factorization.

14132202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14132202221 its reverse (12220223141), we get a palindrome (26352425362).

The spelling of 14132202221 in words is "fourteen billion, one hundred thirty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 17 31 89 367 527 821 1513 2759 6239 11377 13957 25451 32663 46903 73069 193409 301307 432667 555271 1012553 1242173 2265139 5122219 9340517 17213401 26816323 38507363 158788789 455877491 831306013 14132202221