216484224 has 128 divisors (see below), whose sum is σ = 639809280. Its totient is φ = 64296960.

The previous prime is 216484193. The next prime is 216484241. The reversal of 216484224 is 422484612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223389 + ... + 224355.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510).

Almost surely, 2^216484224 is an apocalyptic number.

216484224 is a gapful number since it is divisible by the number (24) 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 216484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319904640).

216484224 is an abundant number, since it is smaller than the sum of its proper divisors (423325056).

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

216484224 is a wasteful number, since it uses less digits than its factorization.

216484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 216484224 is about 14713.4028694928. The cubic root of 216484224 is about 600.4480209344.

The spelling of 216484224 in words is "two hundred sixteen million, four hundred eighty-four thousand, two hundred twenty-four".