220390016 has 128 divisors (see below), whose sum is σ = 558144000. Its totient is φ = 84188160.

The previous prime is 220389977. The next prime is 220390021. The reversal of 220390016 is 610093022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220389973 and 220390000.

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, 581315 + ... + 581693.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^220390016 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 220390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

220390016 is an abundant number, since it is smaller than the sum of its proper divisors (337753984).

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

220390016 is a wasteful number, since it uses less digits than its factorization.

220390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 220390016 is about 14845.5385890846. The cubic root of 220390016 is about 604.0375983495.

The spelling of 220390016 in words is "two hundred twenty million, three hundred ninety thousand, sixteen".