211530000 has 200 divisors, whose sum is σ = 746086176. Its totient is φ = 51200000.

The previous prime is 211529993. The next prime is 211530001. The reversal of 211530000 is 35112.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (211530001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329680 + ... + 330320.

Almost surely, 2^211530000 is an apocalyptic number.

211530000 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 211530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373043088).

211530000 is an abundant number, since it is smaller than the sum of its proper divisors (534556176).

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

211530000 is a wasteful number, since it uses less digits than its factorization.

211530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 211530000 is about 14544.0709569226. The cubic root of 211530000 is about 595.8322275994.

Adding to 211530000 its reverse (35112), we get a palindrome (211565112).

The spelling of 211530000 in words is "two hundred eleven million, five hundred thirty thousand".