213781800 has 96 divisors (see below), whose sum is σ = 701740800. Its totient is φ = 53652480.

The previous prime is 213781793. The next prime is 213781801. The reversal of 213781800 is 8187312.

It is a happy number.

It is a super-2 number, since 2×213781800² = 91405316022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213781801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (7309800).

Almost surely, 2^213781800 is an apocalyptic number.

213781800 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 213781800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350870400).

213781800 is an abundant number, since it is smaller than the sum of its proper divisors (487959000).

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

213781800 is a wasteful number, since it uses less digits than its factorization.

213781800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20995 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 213781800 is about 14621.2790138209. The cubic root of 213781800 is about 597.9390399562.

The spelling of 213781800 in words is "two hundred thirteen million, seven hundred eighty-one thousand, eight hundred".