214441220 has 72 divisors (see below), whose sum is σ = 543299904. Its totient is φ = 69636672.

The previous prime is 214441217. The next prime is 214441231. The reversal of 214441220 is 22144412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214441192 and 214441201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48419 + ... + 52661.

It is an arithmetic number, because the mean of its divisors is an integer number (7545832).

Almost surely, 2^214441220 is an apocalyptic number.

214441220 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 214441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271649952).

214441220 is an abundant number, since it is smaller than the sum of its proper divisors (328858684).

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

214441220 is a wasteful number, since it uses less digits than its factorization.

214441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 214441220 is about 14643.8116622688. The cubic root of 214441220 is about 598.5531992687.

Adding to 214441220 its reverse (22144412), we get a palindrome (236585632).

The spelling of 214441220 in words is "two hundred fourteen million, four hundred forty-one thousand, two hundred twenty".