213302223200 has 576 divisors, whose sum is σ = 640264020480. Its totient is φ = 68382720000.

The previous prime is 213302223161. The next prime is 213302223269. The reversal of 213302223200 is 2322203312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287082029 + ... + 287082771.

It is an arithmetic number, because the mean of its divisors is an integer number (1111569480).

Almost surely, 2^213302223200 is an apocalyptic number.

213302223200 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 213302223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320132010240).

213302223200 is an abundant number, since it is smaller than the sum of its proper divisors (426961797280).

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

213302223200 is a wasteful number, since it uses less digits than its factorization.

213302223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213302223200 its reverse (2322203312), we get a palindrome (215624426512).

The spelling of 213302223200 in words is "two hundred thirteen billion, three hundred two million, two hundred twenty-three thousand, two hundred".