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445005225 = 33527531777
BaseRepresentation
bin11010100001100…
…011110110101001
31011000100121102000
4122201203312221
51402410131400
6112054001213
714012324220
oct3241436651
91130317360
10445005225
11209215015
12105046209
137126b402
144315bcb7
1529103600
hex1a863da9

445005225 has 96 divisors (see below), whose sum is σ = 952439040. Its totient is φ = 199480320.

The previous prime is 445005221. The next prime is 445005229. The reversal of 445005225 is 522500544.

It is an interprime number because it is at equal distance from previous prime (445005221) and next prime (445005229).

It is not a de Polignac number, because 445005225 - 22 = 445005221 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 not an unprimeable number, because it can be changed into a prime (445005221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249537 + ... + 251313.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 2445005225 is an apocalyptic number.

445005225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445005225 is an abundant number, since it is smaller than the sum of its proper divisors (507433815).

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

445005225 is a wasteful number, since it uses less digits than its factorization.

445005225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 445005225 is about 21095.1469537427. The cubic root of 445005225 is about 763.4636602139.

Adding to 445005225 its reverse (522500544), we get a palindrome (967505769).

The spelling of 445005225 in words is "four hundred forty-five million, five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 53 63 75 105 135 159 175 189 225 265 315 371 477 525 675 795 945 1113 1325 1431 1575 1777 1855 2385 3339 3975 4725 5331 5565 7155 8885 9275 10017 11925 12439 15993 16695 26655 27825 35775 37317 44425 47979 50085 62195 79965 83475 94181 111951 133275 186585 239895 250425 282543 310975 335853 399825 470905 559755 659267 847629 932925 1199475 1412715 1679265 1977801 2354525 2542887 2798775 3296335 4238145 5933403 7063575 8396325 9889005 12714435 16481675 17800209 21190725 29667015 49445025 63572175 89001045 148335075 445005225