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2004226620 = 2235113379011
BaseRepresentation
bin111011101110110…
…0001001000111100
312011200022021001120
41313131201020330
513101040222440
6530513310540
7100444434204
oct16735411074
95150267046
102004226620
11939374140
1247b265450
1325c2c7116
14150279404
15bae49dd0
hex7776123c

2004226620 has 96 divisors (see below), whose sum is σ = 6140848896. Its totient is φ = 484377600.

The previous prime is 2004226597. The next prime is 2004226643. The reversal of 2004226620 is 266224002.

It is an interprime number because it is at equal distance from previous prime (2004226597) and next prime (2004226643).

It is a congruent number.

It is an unprimeable number.

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, 217915 + ... + 226925.

It is an arithmetic number, because the mean of its divisors is an integer number (63967176).

Almost surely, 22004226620 is an apocalyptic number.

2004226620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004226620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070424448).

2004226620 is an abundant number, since it is smaller than the sum of its proper divisors (4136622276).

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

2004226620 is a wasteful number, since it uses less digits than its factorization.

2004226620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2004226620 is about 44768.5896583754. The cubic root of 2004226620 is about 1260.8079600006.

The spelling of 2004226620 in words is "two billion, four million, two hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 337 660 674 1011 1348 1685 2022 3370 3707 4044 5055 6740 7414 9011 10110 11121 14828 18022 18535 20220 22242 27033 36044 37070 44484 45055 54066 55605 74140 90110 99121 108132 111210 135165 180220 198242 222420 270330 297363 396484 495605 540660 594726 991210 1189452 1486815 1982420 2973630 3036707 5947260 6073414 9110121 12146828 15183535 18220242 30367070 33403777 36440484 45550605 60734140 66807554 91101210 100211331 133615108 167018885 182202420 200422662 334037770 400845324 501056655 668075540 1002113310 2004226620