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3001225220 = 2257178315193
BaseRepresentation
bin1011001011100011…
…0001000000000100
321202011100001000122
42302320301000010
522121303201340
61213450401112
7134241664520
oct26270610004
97664301018
103001225220
111300127a24
126b9130198
1338aa23116
14206844d80
15128736db5
hexb2e31004

3001225220 has 96 divisors (see below), whose sum is σ = 7719038208. Its totient is φ = 956731392.

The previous prime is 3001225217. The next prime is 3001225267. The reversal of 3001225220 is 225221003.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189944 + ... + 205136.

It is an arithmetic number, because the mean of its divisors is an integer number (80406648).

Almost surely, 23001225220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001225220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859519104).

3001225220 is an abundant number, since it is smaller than the sum of its proper divisors (4717812988).

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

3001225220 is a wasteful number, since it uses less digits than its factorization.

3001225220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15309 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3001225220 is about 54783.4392859740. The cubic root of 3001225220 is about 1442.4458850309.

Adding to 3001225220 its reverse (225221003), we get a palindrome (3226446223).

The spelling of 3001225220 in words is "three billion, one million, two hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 83 85 119 140 166 170 238 332 340 415 476 581 595 830 1162 1190 1411 1660 2324 2380 2822 2905 5644 5810 7055 9877 11620 14110 15193 19754 28220 30386 39508 49385 60772 75965 98770 106351 151930 197540 212702 258281 303860 425404 516562 531755 1033124 1063510 1261019 1291405 1807967 2127020 2522038 2582810 3615934 5044076 5165620 6305095 7231868 8827133 9039835 12610190 17654266 18079670 21437323 25220380 35308532 36159340 42874646 44135665 85749292 88271330 107186615 150061261 176542660 214373230 300122522 428746460 600245044 750306305 1500612610 3001225220