221340 has 96 divisors (see below), whose sum is σ = 774144. Its totient is φ = 46080.

The previous prime is 221327. The next prime is 221393. The reversal of 221340 is 43122.

221340 = 106² + 107² + ... + 122².

221340 is digitally balanced in base 3, 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 (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

221340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125 + ... + 7155.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2²²¹³⁴⁰ is an apocalyptic number.

221340 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 221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

221340 is an abundant number, since it is smaller than the sum of its proper divisors (552804).

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

221340 is a wasteful number, since it uses less digits than its factorization.

221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221340 is about 470.4678522492. The cubic root of 221340 is about 60.4904249127.

Adding to 221340 its reverse (43122), we get a palindrome (264462).

It can be divided in two parts, 221 and 340, that added together give a triangular number (561 = T₃₃).

The spelling of 221340 in words is "two hundred twenty-one thousand, three hundred forty", and thus it is an iban number.