211822002 has 72 divisors (see below), whose sum is σ = 538081596. Its totient is φ = 60044544.

The previous prime is 211821979. The next prime is 211822033. The reversal of 211822002 is 200228112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197374401 + 14447601 = 14049^2 + 3801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 119958 + ... + 121710.

Almost surely, 2^211822002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211822002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269040798).

211822002 is an abundant number, since it is smaller than the sum of its proper divisors (326259594).

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

211822002 is a wasteful number, since it uses less digits than its factorization.

211822002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211822002 is about 14554.1060185777. The cubic root of 211822002 is about 596.1062694310.

The spelling of 211822002 in words is "two hundred eleven million, eight hundred twenty-two thousand, two".