211005000 has 200 divisors, whose sum is σ = 739942830. Its totient is φ = 56160000.

The previous prime is 211004987. The next prime is 211005019. The reversal of 211005000 is 500112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 324 + 211004676 = 18^2 + 14526^2 .

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

It is a super-2 number, since 2×211005000² = 89046220050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 49 ways as a sum of consecutive naturals, for example, 404740 + ... + 405260.

Almost surely, 2^211005000 is an apocalyptic number.

211005000 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 211005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369971415).

211005000 is an abundant number, since it is smaller than the sum of its proper divisors (528937830).

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

211005000 is an equidigital number, since it uses as much as digits as its factorization.

211005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 211005000 is about 14526.0111524121. The cubic root of 211005000 is about 595.3388837584.

Adding to 211005000 its reverse (500112), we get a palindrome (211505112).

The spelling of 211005000 in words is "two hundred eleven million, five thousand".