221601600 has 252 divisors, whose sum is σ = 859840800. Its totient is φ = 53683200.

The previous prime is 221601599. The next prime is 221601631. The reversal of 221601600 is 6106122.

It is a happy number.

221601600 is a `hidden beast` number, since 2 + 2 + 1 + 60 + 1 + 600 = 666.

221601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157701 + ... + 159099.

Almost surely, 2^221601600 is an apocalyptic number.

221601600 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 221601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429920400).

221601600 is an abundant number, since it is smaller than the sum of its proper divisors (638239200).

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

221601600 is a wasteful number, since it uses less digits than its factorization.

221601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 221601600 is about 14886.2889935672. The cubic root of 221601600 is about 605.1424658233.

Adding to 221601600 its reverse (6106122), we get a palindrome (227707722).

The spelling of 221601600 in words is "two hundred twenty-one million, six hundred one thousand, six hundred".