211813056 has 280 divisors, whose sum is σ = 774496800. Its totient is φ = 55738368.

The previous prime is 211813039. The next prime is 211813057. The reversal of 211813056 is 650318112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211813057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471520 + ... + 471968.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^211813056 is an apocalyptic number.

211813056 is a gapful number since it is divisible by the number (26) 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 211813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387248400).

211813056 is an abundant number, since it is smaller than the sum of its proper divisors (562683744).

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

211813056 is a wasteful number, since it uses less digits than its factorization.

211813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 211813056 is about 14553.7986793826. The cubic root of 211813056 is about 596.0978774136.

The spelling of 211813056 in words is "two hundred eleven million, eight hundred thirteen thousand, fifty-six".