213280000 has 180 divisors, whose sum is σ = 561920128. Its totient is φ = 80640000.

The previous prime is 213279967. The next prime is 213280009. The reversal of 213280000 is 82312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213280009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4959979 + ... + 4960021.

Almost surely, 2^213280000 is an apocalyptic number.

213280000 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 213280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280960064).

213280000 is an abundant number, since it is smaller than the sum of its proper divisors (348640128).

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

213280000 is an frugal number, since it uses more digits than its factorization.

213280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213280000 is about 14604.1090108229. The cubic root of 213280000 is about 597.4708353382.

The spelling of 213280000 in words is "two hundred thirteen million, two hundred eighty thousand".