221541200 has 60 divisors (see below), whose sum is σ = 546674460. Its totient is φ = 86215680.

The previous prime is 221541191. The next prime is 221541209. The reversal of 221541200 is 2145122.

It is an interprime number because it is at equal distance from previous prime (221541191) and next prime (221541209).

It can be written as a sum of positive squares in 6 ways, for example, as 18079504 + 203461696 = 4252^2 + 14264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221541209) 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 11 ways as a sum of consecutive naturals, for example, 7316 + ... + 22284.

It is an arithmetic number, because the mean of its divisors is an integer number (9111241).

Almost surely, 2^221541200 is an apocalyptic number.

221541200 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 221541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273337230).

221541200 is an abundant number, since it is smaller than the sum of its proper divisors (325133260).

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

221541200 is a wasteful number, since it uses less digits than its factorization.

221541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 221541200 is about 14884.2601428489. The cubic root of 221541200 is about 605.0874813735.

Adding to 221541200 its reverse (2145122), we get a palindrome (223686322).

The spelling of 221541200 in words is "two hundred twenty-one million, five hundred forty-one thousand, two hundred".