221120214 has 64 divisors (see below), whose sum is σ = 546470400. Its totient is φ = 58226688.

The previous prime is 221120197. The next prime is 221120219. The reversal of 221120214 is 412021122.

221120214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221120193 and 221120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25782 + ... + 33270.

It is an arithmetic number, because the mean of its divisors is an integer number (8538600).

Almost surely, 2^221120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273235200).

221120214 is an abundant number, since it is smaller than the sum of its proper divisors (325350186).

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

221120214 is a wasteful number, since it uses less digits than its factorization.

221120214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221120214 is about 14870.1114319967. Note that the first 3 decimals coincide. The cubic root of 221120214 is about 604.7039637219.

Adding to 221120214 its reverse (412021122), we get a palindrome (633141336).

The spelling of 221120214 in words is "two hundred twenty-one million, one hundred twenty thousand, two hundred fourteen".