220414120 has 16 divisors (see below), whose sum is σ = 495931860. Its totient is φ = 88165632.

The previous prime is 220414109. The next prime is 220414141. The reversal of 220414120 is 21414022.

It can be written as a sum of positive squares in 2 ways, for example, as 220403716 + 10404 = 14846^2 + 102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220414094 and 220414103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2755137 + ... + 2755216.

Almost surely, 2^220414120 is an apocalyptic number.

220414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220414120 is an abundant number, since it is smaller than the sum of its proper divisors (275517740).

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

220414120 is a wasteful number, since it uses less digits than its factorization.

220414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510364 (or 5510360 counting only the distinct ones).

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

The square root of 220414120 is about 14846.3503932785. The cubic root of 220414120 is about 604.0596186929.

Adding to 220414120 its reverse (21414022), we get a palindrome (241828142).

The spelling of 220414120 in words is "two hundred twenty million, four hundred fourteen thousand, one hundred twenty".