18225200 has 120 divisors (see below), whose sum is σ = 52401408. Its totient is φ = 5955840.

The previous prime is 18225187. The next prime is 18225209. The reversal of 18225200 is 252281.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (18225209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64259 + ... + 64541.

Almost surely, 2^18225200 is an apocalyptic number.

18225200 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 18225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200704).

18225200 is an abundant number, since it is smaller than the sum of its proper divisors (34176208).

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

18225200 is a wasteful number, since it uses less digits than its factorization.

18225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 18225200 is about 4269.0982654420. The cubic root of 18225200 is about 263.1625590752.

Adding to 18225200 its reverse (252281), we get a palindrome (18477481).

The spelling of 18225200 in words is "eighteen million, two hundred twenty-five thousand, two hundred".