211505000 has 80 divisors (see below), whose sum is σ = 566443680. Its totient is φ = 72504000.

The previous prime is 211504981. The next prime is 211505011. The reversal of 211505000 is 505112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31979 + ... + 38021.

It is an arithmetic number, because the mean of its divisors is an integer number (7080546).

Almost surely, 2^211505000 is an apocalyptic number.

211505000 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 211505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283221840).

211505000 is an abundant number, since it is smaller than the sum of its proper divisors (354938680).

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

211505000 is an equidigital number, since it uses as much as digits as its factorization.

211505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 211505000 is about 14543.2114747741. The cubic root of 211505000 is about 595.8087535570.

The spelling of 211505000 in words is "two hundred eleven million, five hundred five thousand".