221416 has 16 divisors (see below), whose sum is σ = 447300. Its totient is φ = 102144.

The previous prime is 221413. The next prime is 221447. The reversal of 221416 is 614122.

221416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 22500 = 446^2 + 150^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 961 + ... + 1168.

2²²¹⁴¹⁶ is an apocalyptic number.

221416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221416 is an abundant number, since it is smaller than the sum of its proper divisors (225884).

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

221416 is a wasteful number, since it uses less digits than its factorization.

221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 221416 is about 470.5486159793. The cubic root of 221416 is about 60.4973475148.

Adding to 221416 its reverse (614122), we get a palindrome (835538).

The spelling of 221416 in words is "two hundred twenty-one thousand, four hundred sixteen".