211310220 has 96 divisors (see below), whose sum is σ = 650797056. Its totient is φ = 50803200.

The previous prime is 211310207. The next prime is 211310233. The reversal of 211310220 is 22013112.

It is an interprime number because it is at equal distance from previous prime (211310207) and next prime (211310233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211310196 and 211310205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82560 + ... + 85080.

It is an arithmetic number, because the mean of its divisors is an integer number (6779136).

Almost surely, 2^211310220 is an apocalyptic number.

211310220 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 211310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325398528).

211310220 is an abundant number, since it is smaller than the sum of its proper divisors (439486836).

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

211310220 is a wasteful number, since it uses less digits than its factorization.

211310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211310220 is about 14536.5133371108. The cubic root of 211310220 is about 595.6257992184.

Adding to 211310220 its reverse (22013112), we get a palindrome (233323332).

The spelling of 211310220 in words is "two hundred eleven million, three hundred ten thousand, two hundred twenty".