211315700 has 36 divisors (see below), whose sum is σ = 460973100. Its totient is φ = 84080640.

The previous prime is 211315693. The next prime is 211315703. The reversal of 211315700 is 7513112.

It can be written as a sum of positive squares in 6 ways, for example, as 58644964 + 152670736 = 7658^2 + 12356^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211315703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13826 + ... + 24774.

Almost surely, 2^211315700 is an apocalyptic number.

211315700 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 211315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230486550).

211315700 is an abundant number, since it is smaller than the sum of its proper divisors (249657400).

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

211315700 is a wasteful number, since it uses less digits than its factorization.

211315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 211315700 is about 14536.7018267556. The cubic root of 211315700 is about 595.6309480484.

Adding to 211315700 its reverse (7513112), we get a palindrome (218828812).

The spelling of 211315700 in words is "two hundred eleven million, three hundred fifteen thousand, seven hundred".