216430000 has 100 divisors (see below), whose sum is σ = 547362288. Its totient is φ = 82720000.

The previous prime is 216429991. The next prime is 216430037. The reversal of 216430000 is 34612.

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 (16).

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, 229530 + ... + 230470.

Almost surely, 2^216430000 is an apocalyptic number.

216430000 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 216430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273681144).

216430000 is an abundant number, since it is smaller than the sum of its proper divisors (330932288).

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

216430000 is an equidigital number, since it uses as much as digits as its factorization.

216430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 216430000 is about 14711.5600804265. The cubic root of 216430000 is about 600.3978842367.

Adding to 216430000 its reverse (34612), we get a palindrome (216464612).

The spelling of 216430000 in words is "two hundred sixteen million, four hundred thirty thousand".