216228096 has 288 divisors, whose sum is σ = 755462400. Its totient is φ = 59719680.

The previous prime is 216228091. The next prime is 216228101. The reversal of 216228096 is 690822612.

It is a happy number.

216228096 is a `hidden beast` number, since 21 + 622 + 8 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (216228091) and next prime (216228101).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216228096.

It is not an unprimeable number, because it can be changed into a prime (216228091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983690 + ... + 1983798.

Almost surely, 2^216228096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377731200).

216228096 is an abundant number, since it is smaller than the sum of its proper divisors (539234304).

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

216228096 is a wasteful number, since it uses less digits than its factorization.

216228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216228096 is about 14704.6963926495. The cubic root of 216228096 is about 600.2111257012.

The spelling of 216228096 in words is "two hundred sixteen million, two hundred twenty-eight thousand, ninety-six".