Search a number
-
+
14222052432 = 2432723375981
BaseRepresentation
bin11010011111011001…
…10100110001010000
31100201011022010020200
431033230310301100
5213111321134212
610311123535200
71012302310500
oct151754646120
940634263220
1014222052432
116038a83545
12290ab2a500
131458617853
1498cb99a00
155838966dc
hex34fb34c50

14222052432 has 180 divisors, whose sum is σ = 46445432436. Its totient is φ = 4050708480.

The previous prime is 14222052421. The next prime is 14222052433. The reversal of 14222052432 is 23425022241.

14222052432 is a `hidden beast` number, since 1 + 4 + 2 + 220 + 5 + 2 + 432 = 666.

14222052432 is digitally balanced in base 2, 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 2 ways, for example, as 1721918016 + 12500134416 = 41496^2 + 111804^2 .

It is a super-2 number, since 2×142220524322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14222052396 and 14222052405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222052433) 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 35 ways as a sum of consecutive naturals, for example, 2374882 + ... + 2380862.

Almost surely, 214222052432 is an apocalyptic number.

14222052432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222716218).

14222052432 is an abundant number, since it is smaller than the sum of its proper divisors (32223380004).

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

14222052432 is a wasteful number, since it uses less digits than its factorization.

14222052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14222052432 its reverse (23425022241), we get a palindrome (37647074673).

The spelling of 14222052432 in words is "fourteen billion, two hundred twenty-two million, fifty-two thousand, four hundred thirty-two".