211900000 has 144 divisors (see below), whose sum is σ = 564995088. Its totient is φ = 77760000.

The previous prime is 211899983. The next prime is 211900043. The reversal of 211900000 is 9112.

It is a super-2 number, since 2×211900000² = 89803220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299919 + ... + 1300081.

It is an arithmetic number, because the mean of its divisors is an integer number (3923577).

Almost surely, 2^211900000 is an apocalyptic number.

211900000 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 211900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282497544).

211900000 is an abundant number, since it is smaller than the sum of its proper divisors (353095088).

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

211900000 is an equidigital number, since it uses as much as digits as its factorization.

211900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 211900000 is about 14556.7853594123. The cubic root of 211900000 is about 596.1794273822.

Adding to 211900000 its reverse (9112), we get a palindrome (211909112).

The spelling of 211900000 in words is "two hundred eleven million, nine hundred thousand".