221300 has 18 divisors (see below), whose sum is σ = 480438. Its totient is φ = 88480.

The previous prime is 221281. The next prime is 221303. The reversal of 221300 is 3122.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 150544 = 266^2 + 388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (26691).

2²²¹³⁰⁰ is an apocalyptic number.

221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221300 is an abundant number, since it is smaller than the sum of its proper divisors (259138).

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

221300 is a wasteful number, since it uses less digits than its factorization.

221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 221300 is about 470.4253394536. The cubic root of 221300 is about 60.4867808015.

Adding to 221300 its reverse (3122), we get a palindrome (224422).

The spelling of 221300 in words is "two hundred twenty-one thousand, three hundred", and thus it is an iban number.