211162140 has 168 divisors, whose sum is σ = 760203360. Its totient is φ = 48242304.

The previous prime is 211162139. The next prime is 211162141. The reversal of 211162140 is 41261112.

211162140 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 621 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (211162139) and next prime (211162141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211162141) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 101026 + ... + 103094.

It is an arithmetic number, because the mean of its divisors is an integer number (4525020).

Almost surely, 2^211162140 is an apocalyptic number.

211162140 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 211162140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380101680).

211162140 is an abundant number, since it is smaller than the sum of its proper divisors (549041220).

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

211162140 is a wasteful number, since it uses less digits than its factorization.

211162140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211162140 is about 14531.4190635326. The cubic root of 211162140 is about 595.4866343465.

The spelling of 211162140 in words is "two hundred eleven million, one hundred sixty-two thousand, one hundred forty".