220211000 has 96 divisors (see below), whose sum is σ = 532200240. Its totient is φ = 85280000.

The previous prime is 220210987. The next prime is 220211003. The reversal of 220211000 is 112022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211003) by changing a digit.

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, 1680935 + ... + 1681065.

Almost surely, 2^220211000 is an apocalyptic number.

220211000 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 220211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266100120).

220211000 is an abundant number, since it is smaller than the sum of its proper divisors (311989240).

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

220211000 is a wasteful number, since it uses less digits than its factorization.

220211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 220211000 is about 14839.5080781002. The cubic root of 220211000 is about 603.8740070226.

Adding to 220211000 its reverse (112022), we get a palindrome (220323022).

The spelling of 220211000 in words is "two hundred twenty million, two hundred eleven thousand".