213705200 has 60 divisors (see below), whose sum is σ = 515019120. Its totient is φ = 85217280.

The previous prime is 213705199. The next prime is 213705203. The reversal of 213705200 is 2507312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213705203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174992 + ... + 176208.

It is an arithmetic number, because the mean of its divisors is an integer number (8583652).

Almost surely, 2^213705200 is an apocalyptic number.

213705200 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 213705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509560).

213705200 is an abundant number, since it is smaller than the sum of its proper divisors (301313920).

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

213705200 is a wasteful number, since it uses less digits than its factorization.

213705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 213705200 is about 14618.6593092527. The cubic root of 213705200 is about 597.8676157252.

The spelling of 213705200 in words is "two hundred thirteen million, seven hundred five thousand, two hundred".