211315200 has 120 divisors (see below), whose sum is σ = 698193408. Its totient is φ = 56340480.

The previous prime is 211315193. The next prime is 211315213. The reversal of 211315200 is 2513112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211315200² = 89308227502080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211315200.

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, 35649 + ... + 41151.

Almost surely, 2^211315200 is an apocalyptic number.

211315200 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 211315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349096704).

211315200 is an abundant number, since it is smaller than the sum of its proper divisors (486878208).

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

211315200 is an equidigital number, since it uses as much as digits as its factorization.

211315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 211315200 is about 14536.6846288966. The cubic root of 211315200 is about 595.6304782683.

Adding to 211315200 its reverse (2513112), we get a palindrome (213828312).

The spelling of 211315200 in words is "two hundred eleven million, three hundred fifteen thousand, two hundred".