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404224221 = 319311032221
BaseRepresentation
bin11000000101111…
…111100011011101
31001011121201101110
4120011333203131
51311440133341
6104035532233
713005564162
oct3005774335
91034551343
10404224221
111981a0705
12b345a079
136599023b
143b984069
152574a216
hex1817f8dd

404224221 has 32 divisors (see below), whose sum is σ = 591585280. Its totient is φ = 244555200.

The previous prime is 404224217. The next prime is 404224237. The reversal of 404224221 is 122422404.

It is not a de Polignac number, because 404224221 - 22 = 404224217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404224291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180891 + ... + 183111.

It is an arithmetic number, because the mean of its divisors is an integer number (18487040).

Almost surely, 2404224221 is an apocalyptic number.

It is an amenable number.

404224221 is a deficient number, since it is larger than the sum of its proper divisors (187361059).

404224221 is a wasteful number, since it uses less digits than its factorization.

404224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377.

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404224221 is about 20105.3281743920. The cubic root of 404224221 is about 739.3909165111.

Adding to 404224221 its reverse (122422404), we get a palindrome (526646625).

The spelling of 404224221 in words is "four hundred four million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 19 31 57 93 103 309 589 1767 1957 2221 3193 5871 6663 9579 42199 60667 68851 126597 182001 206553 228763 686289 1308169 3924507 4346497 7091653 13039491 21274959 134741407 404224221