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404224425 = 35521123263
BaseRepresentation
bin11000000101111…
…111100110101001
31001011121201200000
4120011333212221
51311440140200
6104035533213
713005564603
oct3005774651
91034551600
10404224425
111981a0880
12b345a209
1365990367
143b984173
152574a300
hex1817f9a9

404224425 has 144 divisors (see below), whose sum is σ = 857945088. Its totient is φ = 186753600.

The previous prime is 404224397. The next prime is 404224439. The reversal of 404224425 is 524422404.

It is not a de Polignac number, because 404224425 - 28 = 404224169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1536844 + ... + 1537106.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2404224425 is an apocalyptic number.

404224425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404224425 is an abundant number, since it is smaller than the sum of its proper divisors (453720663).

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

404224425 is a wasteful number, since it uses less digits than its factorization.

404224425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 404224425 is about 20105.3332476734. Note that the first 3 decimals coincide. The cubic root of 404224425 is about 739.3910408939.

Adding to 404224425 its reverse (524422404), we get a palindrome (928646829).

The spelling of 404224425 in words is "four hundred four million, two hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 69 75 81 99 115 135 165 207 225 243 253 263 275 297 345 405 495 575 621 675 759 789 825 891 1035 1215 1265 1315 1485 1725 1863 2025 2277 2367 2475 2673 2893 3105 3795 3945 4455 5175 5589 6049 6075 6325 6575 6831 7101 7425 8679 9315 11385 11835 13365 14465 15525 18147 18975 19725 20493 21303 22275 26037 27945 30245 34155 35505 43395 46575 54441 56925 59175 61479 63909 66539 66825 72325 78111 90735 102465 106515 130185 139725 151225 163323 170775 177525 199617 216975 234333 272205 307395 319545 332695 390555 453675 489969 512325 532575 598851 650925 702999 816615 998085 1171665 1361025 1469907 1536975 1597725 1663475 1796553 1952775 2449845 2994255 3514995 4083075 4990425 5389659 5858325 7349535 8982765 12249225 14971275 16168977 17574975 26948295 36747675 44913825 80844885 134741475 404224425