213442200 has 216 divisors, whose sum is σ = 764208900. Its totient is φ = 53239680.

The previous prime is 213442171. The next prime is 213442217. The reversal of 213442200 is 2244312.

213442200 is a `hidden beast` number, since 21 + 3 + 442 + 200 = 666.

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 53 ways as a sum of consecutive naturals, for example, 2701761 + ... + 2701839.

Almost surely, 2^213442200 is an apocalyptic number.

213442200 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 213442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382104450).

213442200 is an abundant number, since it is smaller than the sum of its proper divisors (550766700).

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

213442200 is a wasteful number, since it uses less digits than its factorization.

213442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213442200 is about 14609.6611870365. The cubic root of 213442200 is about 597.6222563390.

Adding to 213442200 its reverse (2244312), we get a palindrome (215686512).

The spelling of 213442200 in words is "two hundred thirteen million, four hundred forty-two thousand, two hundred".