211214220 has 96 divisors (see below), whose sum is σ = 678655488. Its totient is φ = 48079872.

The previous prime is 211214207. The next prime is 211214233. The reversal of 211214220 is 22412112.

It is an interprime number because it is at equal distance from previous prime (211214207) and next prime (211214233).

It is a super-2 number, since 2×211214220² = 89222893460416800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211214220.

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, 117972 + ... + 119748.

It is an arithmetic number, because the mean of its divisors is an integer number (7069328).

Almost surely, 2^211214220 is an apocalyptic number.

211214220 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 211214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339327744).

211214220 is an abundant number, since it is smaller than the sum of its proper divisors (467441268).

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

211214220 is a wasteful number, since it uses less digits than its factorization.

211214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 211214220 is about 14533.2109322063. The cubic root of 211214220 is about 595.5355862951.

Adding to 211214220 its reverse (22412112), we get a palindrome (233626332).

The spelling of 211214220 in words is "two hundred eleven million, two hundred fourteen thousand, two hundred twenty".