213225600 has 384 divisors, whose sum is σ = 849945600. Its totient is φ = 45895680.

The previous prime is 213225569. The next prime is 213225631. The reversal of 213225600 is 6522312.

It is an interprime number because it is at equal distance from previous prime (213225569) and next prime (213225631).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276717 + ... + 1276883.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^213225600 is an apocalyptic number.

213225600 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 213225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424972800).

213225600 is an abundant number, since it is smaller than the sum of its proper divisors (636720000).

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

213225600 is a wasteful number, since it uses less digits than its factorization.

213225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213225600 is about 14602.2464025231. The cubic root of 213225600 is about 597.4200332983.

Adding to 213225600 its reverse (6522312), we get a palindrome (219747912).

The spelling of 213225600 in words is "two hundred thirteen million, two hundred twenty-five thousand, six hundred".