14825200 has 60 divisors (see below), whose sum is σ = 38370808. Its totient is φ = 5472000.

The previous prime is 14825147. The next prime is 14825201. The reversal of 14825200 is 252841.

14825200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14825201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3775 + ... + 6625.

Almost surely, 2^14825200 is an apocalyptic number.

14825200 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 14825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185404).

14825200 is an abundant number, since it is smaller than the sum of its proper divisors (23545608).

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

14825200 is a wasteful number, since it uses less digits than its factorization.

14825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14825200 is about 3850.3506333839. The cubic root of 14825200 is about 245.6594755287.

The spelling of 14825200 in words is "fourteen million, eight hundred twenty-five thousand, two hundred".