216148200 has 96 divisors (see below), whose sum is σ = 709508160. Its totient is φ = 54246400.

The previous prime is 216148157. The next prime is 216148201. The reversal of 216148200 is 2841612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216148201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (7390710).

Almost surely, 2^216148200 is an apocalyptic number.

216148200 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 216148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354754080).

216148200 is an abundant number, since it is smaller than the sum of its proper divisors (493359960).

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

216148200 is a wasteful number, since it uses less digits than its factorization.

216148200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216148200 is about 14701.9794585627. The cubic root of 216148200 is about 600.1371908509.

Adding to 216148200 its reverse (2841612), we get a palindrome (218989812).

The spelling of 216148200 in words is "two hundred sixteen million, one hundred forty-eight thousand, two hundred".