216583300 has 36 divisors (see below), whose sum is σ = 473446260. Its totient is φ = 85995520.

The previous prime is 216583291. The next prime is 216583331. The reversal of 216583300 is 3385612.

216583300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32058244 + 184525056 = 5662^2 + 13584^2 .

216583300 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5796 + ... + 21604.

It is an arithmetic number, because the mean of its divisors is an integer number (13151285).

Almost surely, 2^216583300 is an apocalyptic number.

216583300 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 216583300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236723130).

216583300 is an abundant number, since it is smaller than the sum of its proper divisors (256862960).

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

216583300 is a wasteful number, since it uses less digits than its factorization.

216583300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 216583300 is about 14716.7693465652. The cubic root of 216583300 is about 600.5396071540.

The spelling of 216583300 in words is "two hundred sixteen million, five hundred eighty-three thousand, three hundred".