216651300 has 144 divisors (see below), whose sum is σ = 666624000. Its totient is φ = 54172800.

The previous prime is 216651293. The next prime is 216651301. The reversal of 216651300 is 3156612.

216651300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216651301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088601 + ... + 1088799.

Almost surely, 2^216651300 is an apocalyptic number.

216651300 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 216651300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312000).

216651300 is an abundant number, since it is smaller than the sum of its proper divisors (449972700).

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

216651300 is a wasteful number, since it uses less digits than its factorization.

216651300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 216651300 is about 14719.0794549116. The cubic root of 216651300 is about 600.6024504422.

The spelling of 216651300 in words is "two hundred sixteen million, six hundred fifty-one thousand, three hundred".