213802200 has 288 divisors, whose sum is σ = 788007600. Its totient is φ = 53268480.

The previous prime is 213802163. The next prime is 213802207. The reversal of 213802200 is 2208312.

It is a happy number.

213802200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213802200² = 91422761449680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213802207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1560532 + ... + 1560668.

Almost surely, 2^213802200 is an apocalyptic number.

213802200 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 213802200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394003800).

213802200 is an abundant number, since it is smaller than the sum of its proper divisors (574205400).

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

213802200 is a wasteful number, since it uses less digits than its factorization.

213802200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

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

The square root of 213802200 is about 14621.9766105681. The cubic root of 213802200 is about 597.9580586760.

The spelling of 213802200 in words is "two hundred thirteen million, eight hundred two thousand, two hundred".