216384100 has 27 divisors (see below), whose sum is σ = 469872921. Its totient is φ = 86494800.

The previous prime is 216384083. The next prime is 216384121. The reversal of 216384100 is 1483612.

The square root of 216384100 is 14710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77898276 + 138485824 = 8826^2 + 11768^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146365 + ... + 147835.

Almost surely, 2^216384100 is an apocalyptic number.

216384100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

216384100 is the 14710-th square number.

It is an amenable number.

216384100 is an abundant number, since it is smaller than the sum of its proper divisors (253488821).

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

216384100 is an equidigital number, since it uses as much as digits as its factorization.

216384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 216384100 is about 600.3554375468.

Multiplying 216384100 by its sum of digits (25), we get a square (5409602500 = 73550²).

216384100 divided by its sum of digits (25) gives a square (8655364 = 2942²).

The spelling of 216384100 in words is "two hundred sixteen million, three hundred eighty-four thousand, one hundred".