14422202302200 has 384 divisors, whose sum is σ = 56292783459840. Its totient is φ = 2967148800000.

The previous prime is 14422202302181. The next prime is 14422202302237. The reversal of 14422202302200 is 220320222441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3120810 + ... + 6211590.

It is an arithmetic number, because the mean of its divisors is an integer number (146595790260).

Almost surely, 2^{14422202302200} is an apocalyptic number.

14422202302200 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 14422202302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28146391729920).

14422202302200 is an abundant number, since it is smaller than the sum of its proper divisors (41870581157640).

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

14422202302200 is a wasteful number, since it uses less digits than its factorization.

14422202302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090919 (or 3090910 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14422202302200 its reverse (220320222441), we get a palindrome (14642522524641).

The spelling of 14422202302200 in words is "fourteen trillion, four hundred twenty-two billion, two hundred two million, three hundred two thousand, two hundred".