14253200 has 60 divisors (see below), whose sum is σ = 36890868. Its totient is φ = 5260800.

The previous prime is 14253137. The next prime is 14253223. The reversal of 14253200 is 235241.

14253200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2611456 + 11641744 = 1616^2 + 3412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3830 + ... + 6570.

Almost surely, 2^14253200 is an apocalyptic number.

14253200 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 14253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445434).

14253200 is an abundant number, since it is smaller than the sum of its proper divisors (22637668).

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

14253200 is a wasteful number, since it uses less digits than its factorization.

14253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 14253200 is about 3775.3410441972. The cubic root of 14253200 is about 242.4585255177.

Adding to 14253200 its reverse (235241), we get a palindrome (14488441).

The spelling of 14253200 in words is "fourteen million, two hundred fifty-three thousand, two hundred".