211349020 has 24 divisors (see below), whose sum is σ = 444546144. Its totient is φ = 84403776.

The previous prime is 211349011. The next prime is 211349029. The reversal of 211349020 is 20943112.

211349020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211349011) and next prime (211349029).

It is a junction number, because it is equal to n+sod(n) for n = 211348982 and 211349000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211349029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4774 + ... + 21106.

It is an arithmetic number, because the mean of its divisors is an integer number (18522756).

Almost surely, 2^211349020 is an apocalyptic number.

211349020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211349020 is an abundant number, since it is smaller than the sum of its proper divisors (233197124).

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

211349020 is a wasteful number, since it uses less digits than its factorization.

211349020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 211349020 is about 14537.8478462254. The cubic root of 211349020 is about 595.6622525218.

The spelling of 211349020 in words is "two hundred eleven million, three hundred forty-nine thousand, twenty".