14228880 has 80 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 3750400.

The previous prime is 14228873. The next prime is 14228887. The reversal of 14228880 is 8882241.

It is an interprime number because it is at equal distance from previous prime (14228873) and next prime (14228887).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14228880² = 404922052108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14228887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23947 + ... + 24533.

Almost surely, 2^14228880 is an apocalyptic number.

14228880 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 14228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072).

14228880 is an abundant number, since it is smaller than the sum of its proper divisors (30393264).

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

14228880 is a wasteful number, since it uses less digits than its factorization.

14228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 14228880 is about 3772.1187680135. The cubic root of 14228880 is about 242.3205460166.

The spelling of 14228880 in words is "fourteen million, two hundred twenty-eight thousand, eight hundred eighty".