220006016 has 64 divisors (see below), whose sum is σ = 469240800. Its totient is φ = 102435840.

The previous prime is 220006009. The next prime is 220006049. The reversal of 220006016 is 610600022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220005985 and 220006003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147611 + ... + 149093.

Almost surely, 2^220006016 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 220006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234620400).

220006016 is an abundant number, since it is smaller than the sum of its proper divisors (249234784).

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

220006016 is a wasteful number, since it uses less digits than its factorization.

220006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 220006016 is about 14832.5997721236. The cubic root of 220006016 is about 603.6865762741.

Adding to 220006016 its reverse (610600022), we get a palindrome (830606038).

The spelling of 220006016 in words is "two hundred twenty million, six thousand, sixteen".