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220221131 = 1340794153
BaseRepresentation
bin11010010000001…
…00111011001011
3120100101101121012
431020010323023
5422334034011
633504034135
75312564054
oct1510047313
9510341535
10220221131
11103344439
126190294b
1336817280
142136772b
1514500a8b
hexd204ecb

220221131 has 8 divisors (see below), whose sum is σ = 237276480. Its totient is φ = 203182272.

The previous prime is 220221101. The next prime is 220221143. The reversal of 220221131 is 131122022.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220221131 - 210 = 220220107 is a prime.

It is a super-2 number, since 2×2202211312 = 96994693077838322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50951 + ... + 55103.

It is an arithmetic number, because the mean of its divisors is an integer number (29659560).

Almost surely, 2220221131 is an apocalyptic number.

220221131 is a deficient number, since it is larger than the sum of its proper divisors (17055349).

220221131 is a wasteful number, since it uses less digits than its factorization.

220221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 220221131 is about 14839.8494264598. The cubic root of 220221131 is about 603.8832674649.

Adding to 220221131 its reverse (131122022), we get a palindrome (351343153).

The spelling of 220221131 in words is "two hundred twenty million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 13 4079 4153 53027 53989 16940087 220221131