220001600 has 168 divisors, whose sum is σ = 666707328. Its totient is φ = 69580800.

The previous prime is 220001599. The next prime is 220001603. The reversal of 220001600 is 6100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 144845 + ... + 146355.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2^220001600 is an apocalyptic number.

220001600 is a gapful number since it is divisible by the number (20) 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 220001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333353664).

220001600 is an abundant number, since it is smaller than the sum of its proper divisors (446705728).

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

220001600 is a wasteful number, since it uses less digits than its factorization.

220001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 220001600 is about 14832.4509100823. The cubic root of 220001600 is about 603.6825371455.

Adding to 220001600 its reverse (6100022), we get a palindrome (226101622).

The spelling of 220001600 in words is "two hundred twenty million, one thousand, six hundred".