18227200 has 84 divisors (see below), whose sum is σ = 45708570. Its totient is φ = 7208960.

The previous prime is 18227197. The next prime is 18227203. The reversal of 18227200 is 272281.

It is an interprime number because it is at equal distance from previous prime (18227197) and next prime (18227203).

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 7573504 = 3264^2 + 2752^2 .

It is not an unprimeable number, because it can be changed into a prime (18227203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204756 + ... + 204844.

Almost surely, 2^18227200 is an apocalyptic number.

18227200 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 18227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22854285).

18227200 is an abundant number, since it is smaller than the sum of its proper divisors (27481370).

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

18227200 is an frugal number, since it uses more digits than its factorization.

18227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 18227200 is about 4269.3325005204. The cubic root of 18227200 is about 263.1721850485.

Adding to 18227200 its reverse (272281), we get a palindrome (18499481).

The spelling of 18227200 in words is "eighteen million, two hundred twenty-seven thousand, two hundred".