216313152 has 84 divisors (see below), whose sum is σ = 629155968. Its totient is φ = 65542400.

The previous prime is 216313127. The next prime is 216313217. The reversal of 216313152 is 251313612.

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

It is a congruent number.

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, 18577 + ... + 27887.

It is an arithmetic number, because the mean of its divisors is an integer number (7489952).

Almost surely, 2^216313152 is an apocalyptic number.

216313152 is a gapful number since it is divisible by the number (22) 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 216313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314577984).

216313152 is an abundant number, since it is smaller than the sum of its proper divisors (412842816).

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

216313152 is a wasteful number, since it uses less digits than its factorization.

216313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9327 counting only the distinct ones).

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

The square root of 216313152 is about 14707.5882455282. The cubic root of 216313152 is about 600.2898155446.

Adding to 216313152 its reverse (251313612), we get a palindrome (467626764).

The spelling of 216313152 in words is "two hundred sixteen million, three hundred thirteen thousand, one hundred fifty-two".