211141400 has 48 divisors (see below), whose sum is σ = 500191200. Its totient is φ = 82858880.

The previous prime is 211141379. The next prime is 211141423. The reversal of 211141400 is 4141112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641 + ... + 20559.

It is an arithmetic number, because the mean of its divisors is an integer number (10420650).

Almost surely, 2^211141400 is an apocalyptic number.

211141400 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 211141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250095600).

211141400 is an abundant number, since it is smaller than the sum of its proper divisors (289049800).

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

211141400 is a wasteful number, since it uses less digits than its factorization.

211141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211141400 is about 14530.7054199031. The cubic root of 211141400 is about 595.4671378005.

Adding to 211141400 its reverse (4141112), we get a palindrome (215282512).

The spelling of 211141400 in words is "two hundred eleven million, one hundred forty-one thousand, four hundred".