213741200 has 60 divisors (see below), whose sum is σ = 526078308. Its totient is φ = 83404800.

The previous prime is 213741191. The next prime is 213741259. The reversal of 213741200 is 2147312.

It can be written as a sum of positive squares in 6 ways, for example, as 26708224 + 187032976 = 5168^2 + 13676^2 .

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

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, 9884 + ... + 22916.

Almost surely, 2^213741200 is an apocalyptic number.

213741200 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 213741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263039154).

213741200 is an abundant number, since it is smaller than the sum of its proper divisors (312337108).

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

213741200 is a wasteful number, since it uses less digits than its factorization.

213741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13081 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 213741200 is about 14619.8905604659. The cubic root of 213741200 is about 597.9011853743.

Adding to 213741200 its reverse (2147312), we get a palindrome (215888512).

The spelling of 213741200 in words is "two hundred thirteen million, seven hundred forty-one thousand, two hundred".