14422320 has 160 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 3490560.

The previous prime is 14422313. The next prime is 14422321. The reversal of 14422320 is 2322441.

It is a super-3 number, since 3×14422320³ (a number of 22 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14422293 and 14422302.

It is not an unprimeable number, because it can be changed into a prime (14422321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23457 + ... + 24063.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^14422320 is an apocalyptic number.

14422320 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 14422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

14422320 is an abundant number, since it is smaller than the sum of its proper divisors (39859920).

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

14422320 is a wasteful number, since it uses less digits than its factorization.

14422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14422320 is about 3797.6729717025. The cubic root of 14422320 is about 243.4137137756.

Adding to 14422320 its reverse (2322441), we get a palindrome (16744761).

The spelling of 14422320 in words is "fourteen million, four hundred twenty-two thousand, three hundred twenty".