213241400 has 48 divisors (see below), whose sum is σ = 502802640. Its totient is φ = 84089600.

The previous prime is 213241373. The next prime is 213241409. The reversal of 213241400 is 4142312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213241409) 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, 6692 + ... + 21708.

It is an arithmetic number, because the mean of its divisors is an integer number (10475055).

Almost surely, 2^213241400 is an apocalyptic number.

213241400 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 213241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251401320).

213241400 is an abundant number, since it is smaller than the sum of its proper divisors (289561240).

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

213241400 is a wasteful number, since it uses less digits than its factorization.

213241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15095 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 213241400 is about 14602.7874051497. The cubic root of 213241400 is about 597.4347891928.

Adding to 213241400 its reverse (4142312), we get a palindrome (217383712).

The spelling of 213241400 in words is "two hundred thirteen million, two hundred forty-one thousand, four hundred".