216210000 has 100 divisors (see below), whose sum is σ = 698051552. Its totient is φ = 57648000.

The previous prime is 216209989. The next prime is 216210031. The reversal of 216210000 is 12612.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26397 + ... + 33603.

Almost surely, 2^216210000 is an apocalyptic number.

216210000 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 216210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349025776).

216210000 is an abundant number, since it is smaller than the sum of its proper divisors (481841552).

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

216210000 is an equidigital number, since it uses as much as digits as its factorization.

216210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 216210000 is about 14704.0810661530. The cubic root of 216210000 is about 600.1943814641.

Adding to 216210000 its reverse (12612), we get a palindrome (216222612).

The spelling of 216210000 in words is "two hundred sixteen million, two hundred ten thousand".