211035220 has 48 divisors (see below), whose sum is σ = 485347968. Its totient is φ = 76440960.

The previous prime is 211035203. The next prime is 211035257. The reversal of 211035220 is 22530112.

It is a junction number, because it is equal to n+sod(n) for n = 211035194 and 211035203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59209 + ... + 62671.

It is an arithmetic number, because the mean of its divisors is an integer number (10111416).

Almost surely, 2^211035220 is an apocalyptic number.

211035220 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 211035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242673984).

211035220 is an abundant number, since it is smaller than the sum of its proper divisors (274312748).

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

211035220 is a wasteful number, since it uses less digits than its factorization.

211035220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 211035220 is about 14527.0513181444. The cubic root of 211035220 is about 595.3673037520.

Adding to 211035220 its reverse (22530112), we get a palindrome (233565332).

The spelling of 211035220 in words is "two hundred eleven million, thirty-five thousand, two hundred twenty".