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40122225 = 325211132943
BaseRepresentation
bin1001100100001…
…1011101110001
32210111102100100
42121003131301
540232402400
63551543013
7665014263
oct231033561
983442310
1040122225
1120714470
121152aa69
13840a380
145485b33
1537c8100
hex2643771

40122225 has 144 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 16934400.

The previous prime is 40122223. The next prime is 40122233. The reversal of 40122225 is 52222104.

40122225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40122225 - 21 = 40122223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40122198 and 40122207.

It is not an unprimeable number, because it can be changed into a prime (40122223) 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 143 ways as a sum of consecutive naturals, for example, 933054 + ... + 933096.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 240122225 is an apocalyptic number.

40122225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40122225 is an abundant number, since it is smaller than the sum of its proper divisors (49247055).

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

40122225 is a wasteful number, since it uses less digits than its factorization.

40122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40122225 is about 6334.2106848446. The cubic root of 40122225 is about 342.3431714915.

Adding to 40122225 its reverse (52222104), we get a palindrome (92344329).

It can be divided in two parts, 40 and 122225, that added together give a triangular number (122265 = T494).

The spelling of 40122225 in words is "forty million, one hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 29 33 39 43 45 55 65 75 87 99 117 129 143 145 165 195 215 225 261 275 319 325 377 387 429 435 473 495 559 585 645 715 725 825 957 975 1075 1131 1247 1287 1305 1419 1595 1677 1885 1935 2145 2175 2365 2475 2795 2871 2925 3225 3393 3575 3741 4147 4257 4785 5031 5655 6149 6235 6435 6525 7095 7975 8385 9425 9675 10725 11223 11825 12441 13717 13975 14355 16211 16965 18447 18705 20735 21285 23925 25155 28275 30745 31175 32175 35475 37323 41151 41925 48633 55341 56115 62205 68585 71775 81055 84825 92235 93525 103675 106425 123453 125775 145899 153725 178321 186615 205755 243165 276705 280575 311025 342925 405275 461175 534963 617265 729495 891605 933075 1028775 1215825 1383525 1604889 2674815 3086325 3647475 4458025 8024445 13374075 40122225