216500352 has 64 divisors (see below), whose sum is σ = 576797760. Its totient is φ = 71951360.

The previous prime is 216500279. The next prime is 216500353. The reversal of 216500352 is 253005612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×216500352² = 93744804832247808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (216500353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176413 + ... + 177635.

It is an arithmetic number, because the mean of its divisors is an integer number (9012465).

Almost surely, 2^216500352 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 216500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288398880).

216500352 is an abundant number, since it is smaller than the sum of its proper divisors (360297408).

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

216500352 is a wasteful number, since it uses less digits than its factorization.

216500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 216500352 is about 14713.9509310042. The cubic root of 216500352 is about 600.4629316209.

Adding to 216500352 its reverse (253005612), we get a palindrome (469505964).

The spelling of 216500352 in words is "two hundred sixteen million, five hundred thousand, three hundred fifty-two".