18225000 has 168 divisors, whose sum is σ = 64038870. Its totient is φ = 4860000.

The previous prime is 18224959. The next prime is 18225013. The reversal of 18225000 is 52281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 18198756 = 162^2 + 4266^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3644998 + ... + 3645002.

Almost surely, 2^18225000 is an apocalyptic number.

18225000 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 18225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019435).

18225000 is an abundant number, since it is smaller than the sum of its proper divisors (45813870).

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

18225000 is an frugal number, since it uses more digits than its factorization.

18225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18225000 is about 4269.0748412273. The cubic root of 18225000 is about 263.1615964392.

Multiplying 18225000 by its product of nonzero digits (160), we get a square (2916000000 = 54000²).

Adding to 18225000 its reverse (52281), we get a palindrome (18277281).

The spelling of 18225000 in words is "eighteen million, two hundred twenty-five thousand".