Search a number
-
+
14422232000 = 265311247317
BaseRepresentation
bin11010110111010000…
…11100101111000000
31101020002222021222202
431123220130233000
5214014042411000
610343034252332
71020252643421
oct153350345700
941202867882
1014422232000
116130a79400
122965b870a8
13148ac357b7
149ab5c7648
15596238dd5
hex35ba1cbc0

14422232000 has 336 divisors, whose sum is σ = 40220578944. Its totient is φ = 5116672000.

The previous prime is 14422231997. The next prime is 14422232009. The reversal of 14422232000 is 23222441.

14422232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422232009) 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 47 ways as a sum of consecutive naturals, for example, 45495842 + ... + 45496158.

It is an arithmetic number, because the mean of its divisors is an integer number (119704104).

Almost surely, 214422232000 is an apocalyptic number.

14422232000 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 14422232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110289472).

14422232000 is an abundant number, since it is smaller than the sum of its proper divisors (25798346944).

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

14422232000 is a wasteful number, since it uses less digits than its factorization.

14422232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14422232000 its reverse (23222441), we get a palindrome (14445454441).

The spelling of 14422232000 in words is "fourteen billion, four hundred twenty-two million, two hundred thirty-two thousand".