182213000 has 64 divisors (see below), whose sum is σ = 428641200. Its totient is φ = 72499200.

The previous prime is 182212997. The next prime is 182213029. The reversal of 182213000 is 312281.

182213000 is digitally balanced in base 3, 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 8 ways, for example, as 16370116 + 165842884 = 4046^2 + 12878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 182213000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256646 + ... + 257354.

Almost surely, 2^182213000 is an apocalyptic number.

182213000 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 182213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214320600).

182213000 is an abundant number, since it is smaller than the sum of its proper divisors (246428200).

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

182213000 is a wasteful number, since it uses less digits than its factorization.

182213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 182213000 is about 13498.6295600702. The cubic root of 182213000 is about 566.9261018898.

Adding to 182213000 its reverse (312281), we get a palindrome (182525281).

The spelling of 182213000 in words is "one hundred eighty-two million, two hundred thirteen thousand".