214041220 has 96 divisors (see below), whose sum is σ = 503387136. Its totient is φ = 76032000.

The previous prime is 214041193. The next prime is 214041221. The reversal of 214041220 is 22140412.

It is a junction number, because it is equal to n+sod(n) for n = 214041194 and 214041203.

It is not an unprimeable number, because it can be changed into a prime (214041221) 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, 789685 + ... + 789955.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2^214041220 is an apocalyptic number.

214041220 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 214041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568).

214041220 is an abundant number, since it is smaller than the sum of its proper divisors (289345916).

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

214041220 is a wasteful number, since it uses less digits than its factorization.

214041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214041220 is about 14630.1476410869. The cubic root of 214041220 is about 598.1808046029.

Adding to 214041220 its reverse (22140412), we get a palindrome (236181632).

The spelling of 214041220 in words is "two hundred fourteen million, forty-one thousand, two hundred twenty".