211097220 has 192 divisors, whose sum is σ = 663828480. Its totient is φ = 49876992.

The previous prime is 211097219. The next prime is 211097261. The reversal of 211097220 is 22790112.

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 63 ways as a sum of consecutive naturals, for example, 2176212 + ... + 2176308.

It is an arithmetic number, because the mean of its divisors is an integer number (3457440).

Almost surely, 2^211097220 is an apocalyptic number.

211097220 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 211097220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331914240).

211097220 is an abundant number, since it is smaller than the sum of its proper divisors (452731260).

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

211097220 is a wasteful number, since it uses less digits than its factorization.

211097220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 211097220 is about 14529.1851113543. The cubic root of 211097220 is about 595.4256023282.

The spelling of 211097220 in words is "two hundred eleven million, ninety-seven thousand, two hundred twenty".