Search a number
-
+
14330221200 = 24325231731759
BaseRepresentation
bin11010101100010010…
…11101001010010000
31100222200211122220100
431112021131022100
5213322014034300
610325550212400
71015054604361
oct152611351220
940880748810
1014330221200
116094044319
12293b1b4100
131474b5b539
1499d2b5b68
1558d111700
hex35625d290

14330221200 has 360 divisors, whose sum is σ = 52066826240. Its totient is φ = 3645388800.

The previous prime is 14330221189. The next prime is 14330221201. The reversal of 14330221200 is 212203341.

14330221200 is a `hidden beast` number, since 143 + 302 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14330221201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8145921 + ... + 8147679.

Almost surely, 214330221200 is an apocalyptic number.

14330221200 is a gapful number since it is divisible by the number (10) 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 14330221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26033413120).

14330221200 is an abundant number, since it is smaller than the sum of its proper divisors (37736605040).

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

14330221200 is a wasteful number, since it uses less digits than its factorization.

14330221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14330221200 its reverse (212203341), we get a palindrome (14542424541).

The spelling of 14330221200 in words is "fourteen billion, three hundred thirty million, two hundred twenty-one thousand, two hundred".