214243211000 has 256 divisors, whose sum is σ = 622815298560. Its totient is φ = 67167705600.

The previous prime is 214243210997. The next prime is 214243211003. The reversal of 214243211000 is 112342412.

It is an interprime number because it is at equal distance from previous prime (214243210997) and next prime (214243211003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214243211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9725999 + ... + 9748001.

It is an arithmetic number, because the mean of its divisors is an integer number (2432872260).

Almost surely, 2^214243211000 is an apocalyptic number.

214243211000 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 214243211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311407649280).

214243211000 is an abundant number, since it is smaller than the sum of its proper divisors (408572087560).

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

214243211000 is a wasteful number, since it uses less digits than its factorization.

214243211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22151 (or 22137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214243211000 its reverse (112342412), we get a palindrome (214355553412).

The spelling of 214243211000 in words is "two hundred fourteen billion, two hundred forty-three million, two hundred eleven thousand".