14221920 has 48 divisors (see below), whose sum is σ = 44800560. Its totient is φ = 3792384.

The previous prime is 14221903. The next prime is 14221973. The reversal of 14221920 is 2912241.

14221920 = 30² + 31² + ... + 349².

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14335 + ... + 15294.

It is an arithmetic number, because the mean of its divisors is an integer number (933345).

Almost surely, 2^14221920 is an apocalyptic number.

14221920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14221920 is an abundant number, since it is smaller than the sum of its proper divisors (30578640).

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

14221920 is a wasteful number, since it uses less digits than its factorization.

14221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29647 (or 29639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14221920 is about 3771.1960967311. The cubic root of 14221920 is about 242.2810295293.

The spelling of 14221920 in words is "fourteen million, two hundred twenty-one thousand, nine hundred twenty".