13825200 has 120 divisors (see below), whose sum is σ = 45528336. Its totient is φ = 3584000.

The previous prime is 13825193. The next prime is 13825213. The reversal of 13825200 is 252831.

13825200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13825200² = 382272310080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49060 + ... + 49340.

Almost surely, 2^13825200 is an apocalyptic number.

13825200 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 13825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764168).

13825200 is an abundant number, since it is smaller than the sum of its proper divisors (31703136).

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

13825200 is a wasteful number, since it uses less digits than its factorization.

13825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13825200 is about 3718.2253831633. The cubic root of 13825200 is about 240.0069442435.

The spelling of 13825200 in words is "thirteen million, eight hundred twenty-five thousand, two hundred".