14029200 has 150 divisors (see below), whose sum is σ = 50465954. Its totient is φ = 3732480.

The previous prime is 14029189. The next prime is 14029217. The reversal of 14029200 is 292041.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 14017536 = 108^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32184 + ... + 32616.

Almost surely, 2^14029200 is an apocalyptic number.

14029200 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 14029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232977).

14029200 is an abundant number, since it is smaller than the sum of its proper divisors (36436754).

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

14029200 is a wasteful number, since it uses less digits than its factorization.

14029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14029200 is about 3745.5573684033. The cubic root of 14029200 is about 241.1816723283.

The spelling of 14029200 in words is "fourteen million, twenty-nine thousand, two hundred".