211170020 has 48 divisors (see below), whose sum is σ = 458181360. Its totient is φ = 81709056.

The previous prime is 211170017. The next prime is 211170023. The reversal of 211170020 is 20071112.

It is an interprime number because it is at equal distance from previous prime (211170017) and next prime (211170023).

It can be written as a sum of positive squares in 8 ways, for example, as 28217344 + 182952676 = 5312^2 + 13526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211169977 and 211170004.

It is not an unprimeable number, because it can be changed into a prime (211170023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76016 + ... + 78744.

It is an arithmetic number, because the mean of its divisors is an integer number (9545445).

Almost surely, 2^211170020 is an apocalyptic number.

211170020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211170020 is an abundant number, since it is smaller than the sum of its proper divisors (247011340).

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

211170020 is a wasteful number, since it uses less digits than its factorization.

211170020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 211170020 is about 14531.6901976336. The cubic root of 211170020 is about 595.4940415713.

The spelling of 211170020 in words is "two hundred eleven million, one hundred seventy thousand, twenty".