220414131 has 24 divisors (see below), whose sum is σ = 364332384. Its totient is φ = 125786880.

The previous prime is 220414109. The next prime is 220414141. The reversal of 220414131 is 131414022.

220414131 is a `hidden beast` number, since 220 + 414 + 1 + 31 = 666.

It is not a de Polignac number, because 220414131 - 2¹⁵ = 220381363 is a prime.

It is a super-2 number, since 2×220414131² = 97164778288970322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220414141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59761 + ... + 63341.

It is an arithmetic number, because the mean of its divisors is an integer number (15180516).

Almost surely, 2^220414131 is an apocalyptic number.

220414131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220414131 is a deficient number, since it is larger than the sum of its proper divisors (143918253).

220414131 is a wasteful number, since it uses less digits than its factorization.

220414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220414131 is about 14846.3507637399. The cubic root of 220414131 is about 604.0596287417.

Adding to 220414131 its reverse (131414022), we get a palindrome (351828153).

The spelling of 220414131 in words is "two hundred twenty million, four hundred fourteen thousand, one hundred thirty-one".