213220800 has 504 divisors, whose sum is σ = 877037616. Its totient is φ = 48660480.

The previous prime is 213220769. The next prime is 213220823. The reversal of 213220800 is 8022312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182367 + ... + 3182433.

It is an arithmetic number, because the mean of its divisors is an integer number (1740154).

Almost surely, 2^213220800 is an apocalyptic number.

213220800 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 213220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438518808).

213220800 is an abundant number, since it is smaller than the sum of its proper divisors (663816816).

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

213220800 is a wasteful number, since it uses less digits than its factorization.

213220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213220800 is about 14602.0820433252. The cubic root of 213220800 is about 597.4155503505.

The spelling of 213220800 in words is "two hundred thirteen million, two hundred twenty thousand, eight hundred".