211220200 has 48 divisors (see below), whose sum is σ = 495643500. Its totient is φ = 83704320.

The previous prime is 211220153. The next prime is 211220231. The reversal of 211220200 is 2022112.

It can be written as a sum of positive squares in 6 ways, for example, as 103184964 + 108035236 = 10158^2 + 10394^2 .

It is a super-2 number, since 2×211220200² = 89227945776080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16956 + ... + 26644.

Almost surely, 2^211220200 is an apocalyptic number.

211220200 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 211220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247821750).

211220200 is an abundant number, since it is smaller than the sum of its proper divisors (284423300).

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

211220200 is a wasteful number, since it uses less digits than its factorization.

211220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 211220200 is about 14533.4166664278. The cubic root of 211220200 is about 595.5412066067.

Adding to 211220200 its reverse (2022112), we get a palindrome (213242312).

It can be divided in two parts, 21 and 1220200, that added together give a palindrome (1220221).

The spelling of 211220200 in words is "two hundred eleven million, two hundred twenty thousand, two hundred".