213406200 has 144 divisors (see below), whose sum is σ = 819121680. Its totient is φ = 48775680.

The previous prime is 213406199. The next prime is 213406279. The reversal of 213406200 is 2604312.

It is a happy number.

213406200 is a `hidden beast` number, since 2 + 1 + 3 + 40 + 620 + 0 = 666.

213406200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 4132 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (5688345).

Almost surely, 2^213406200 is an apocalyptic number.

213406200 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 213406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409560840).

213406200 is an abundant number, since it is smaller than the sum of its proper divisors (605715480).

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

213406200 is a wasteful number, since it uses less digits than its factorization.

213406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213406200 is about 14608.4290736547. The cubic root of 213406200 is about 597.5886553440.

The spelling of 213406200 in words is "two hundred thirteen million, four hundred six thousand, two hundred".