212234000 has 120 divisors (see below), whose sum is σ = 564719064. Its totient is φ = 77088000.

The previous prime is 212233997. The next prime is 212234051. The reversal of 212234000 is 432212.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 212110096 = 352^2 + 14564^2 .

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 23 ways as a sum of consecutive naturals, for example, 241562 + ... + 242438.

Almost surely, 2^212234000 is an apocalyptic number.

212234000 is a gapful number since it is divisible by the number (20) 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 212234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282359532).

212234000 is an abundant number, since it is smaller than the sum of its proper divisors (352485064).

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

212234000 is a wasteful number, since it uses less digits than its factorization.

212234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212234000 is about 14568.2531554061. The cubic root of 212234000 is about 596.4924986415.

Adding to 212234000 its reverse (432212), we get a palindrome (212666212).

The spelling of 212234000 in words is "two hundred twelve million, two hundred thirty-four thousand".