211233000 has 256 divisors, whose sum is σ = 742659840. Its totient is φ = 49536000.

The previous prime is 211232971. The next prime is 211233017. The reversal of 211233000 is 332112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1220914 + ... + 1221086.

It is an arithmetic number, because the mean of its divisors is an integer number (2901015).

Almost surely, 2^211233000 is an apocalyptic number.

211233000 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 211233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371329920).

211233000 is an abundant number, since it is smaller than the sum of its proper divisors (531426840).

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

211233000 is a wasteful number, since it uses less digits than its factorization.

211233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 211233000 is about 14533.8570242039. The cubic root of 211233000 is about 595.5532363486.

Adding to 211233000 its reverse (332112), we get a palindrome (211565112).

The spelling of 211233000 in words is "two hundred eleven million, two hundred thirty-three thousand".