181820200 has 48 divisors (see below), whose sum is σ = 426964860. Its totient is φ = 72000000.

The previous prime is 181820189. The next prime is 181820203. The reversal of 181820200 is 2028181.

181820200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 86601636 + 95218564 = 9306^2 + 9758^2 .

It is not an unprimeable number, because it can be changed into a prime (181820203) 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, 15700 + ... + 24700.

Almost surely, 2^181820200 is an apocalyptic number.

181820200 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 181820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213482430).

181820200 is an abundant number, since it is smaller than the sum of its proper divisors (245144660).

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

181820200 is a wasteful number, since it uses less digits than its factorization.

181820200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 181820200 is about 13484.0720852419. The cubic root of 181820200 is about 566.5184310454.

Adding to 181820200 its reverse (2028181), we get a palindrome (183848381).

It can be divided in two parts, 1818 and 20200, that multiplied together give a square (36723600 = 6060²).

The spelling of 181820200 in words is "one hundred eighty-one million, eight hundred twenty thousand, two hundred".