14248000 has 112 divisors (see below), whose sum is σ = 38276784. Its totient is φ = 5222400.

The previous prime is 14247991. The next prime is 14248001. The reversal of 14248000 is 84241.

It can be written as a sum of positive squares in 8 ways, for example, as 6718464 + 7529536 = 2592^2 + 2744^2 .

It is not an unprimeable number, because it can be changed into a prime (14248001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103932 + ... + 104068.

It is an arithmetic number, because the mean of its divisors is an integer number (341757).

Almost surely, 2^14248000 is an apocalyptic number.

14248000 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 14248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138392).

14248000 is an abundant number, since it is smaller than the sum of its proper divisors (24028784).

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

14248000 is a wasteful number, since it uses less digits than its factorization.

14248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 14248000 is about 3774.6523018683. The cubic root of 14248000 is about 242.4290365214.

The spelling of 14248000 in words is "fourteen million, two hundred forty-eight thousand".