14922144 has 144 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 4665600.

The previous prime is 14922143. The next prime is 14922151. The reversal of 14922144 is 44122941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14922143) 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 23 ways as a sum of consecutive naturals, for example, 147694 + ... + 147794.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 2^14922144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

14922144 is an abundant number, since it is smaller than the sum of its proper divisors (31859136).

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

14922144 is a wasteful number, since it uses less digits than its factorization.

14922144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 14922144 is about 3862.9191034760. The cubic root of 14922144 is about 246.1937794989.

The spelling of 14922144 in words is "fourteen million, nine hundred twenty-two thousand, one hundred forty-four".