213023200 has 72 divisors (see below), whose sum is σ = 560073528. Its totient is φ = 78650880.

The previous prime is 213023179. The next prime is 213023201. The reversal of 213023200 is 2320312.

It is a happy number.

213023200 is nontrivially palindromic in base 7.

213023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023201) 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, 159 + ... + 20641.

It is an arithmetic number, because the mean of its divisors is an integer number (7778799).

Almost surely, 2^213023200 is an apocalyptic number.

213023200 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 213023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280036764).

213023200 is an abundant number, since it is smaller than the sum of its proper divisors (347050328).

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

213023200 is a wasteful number, since it uses less digits than its factorization.

213023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20516 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 213023200 is about 14595.3143165880. The cubic root of 213023200 is about 597.2309439104.

Adding to 213023200 its reverse (2320312), we get a palindrome (215343512).

The spelling of 213023200 in words is "two hundred thirteen million, twenty-three thousand, two hundred".