211413090 has 64 divisors (see below), whose sum is σ = 584515584. Its totient is φ = 47936448.

The previous prime is 211413089. The next prime is 211413091. The reversal of 211413090 is 90314112.

211413090 is digitally balanced in base 3, 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 (211413089) and next prime (211413091).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (211413091) 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 31 ways as a sum of consecutive naturals, for example, 22707 + ... + 30633.

It is an arithmetic number, because the mean of its divisors is an integer number (9133056).

Almost surely, 2^211413090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211413090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292257792).

211413090 is an abundant number, since it is smaller than the sum of its proper divisors (373102494).

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

211413090 is a wasteful number, since it uses less digits than its factorization.

211413090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 211413090 is about 14540.0512378740. The cubic root of 211413090 is about 595.7224376833.

The spelling of 211413090 in words is "two hundred eleven million, four hundred thirteen thousand, ninety".