218210016 has 96 divisors (see below), whose sum is σ = 614089728. Its totient is φ = 67668480.

The previous prime is 218210009. The next prime is 218210017. The reversal of 218210016 is 610012812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×218210016² = 95231222165440512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218209974 and 218210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218210017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80361 + ... + 83031.

It is an arithmetic number, because the mean of its divisors is an integer number (6396768).

Almost surely, 2^218210016 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 218210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307044864).

218210016 is an abundant number, since it is smaller than the sum of its proper divisors (395879712).

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

218210016 is a wasteful number, since it uses less digits than its factorization.

218210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 218210016 is about 14771.9333873397. The cubic root of 218210016 is about 602.0393715305.

Adding to 218210016 its reverse (610012812), we get a palindrome (828222828).

The spelling of 218210016 in words is "two hundred eighteen million, two hundred ten thousand, sixteen".