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3005552220 = 22351118612447
BaseRepresentation
bin1011001100100101…
…0001011001011100
321202110110212112220
42303021101121130
522123410132340
61214123225340
7134323525626
oct26311213134
97673425486
103005552220
111302612960
126ba678250
1338b8a9788
1420724dc16
15128cdded0
hexb325165c

3005552220 has 96 divisors (see below), whose sum is σ = 9189282816. Its totient is φ = 727929600.

The previous prime is 3005552177. The next prime is 3005552261. The reversal of 3005552220 is 222555003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227037 + ... + 1229483.

It is an arithmetic number, because the mean of its divisors is an integer number (95721696).

Almost surely, 23005552220 is an apocalyptic number.

3005552220 is a gapful number since it is divisible by the number (30) 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 3005552220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594641408).

3005552220 is an abundant number, since it is smaller than the sum of its proper divisors (6183730596).

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

3005552220 is a wasteful number, since it uses less digits than its factorization.

3005552220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 3005552220 is about 54822.9169234910. The cubic root of 3005552220 is about 1443.1387649667.

The spelling of 3005552220 in words is "three billion, five million, five hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1861 2447 3722 4894 5583 7341 7444 9305 9788 11166 12235 14682 18610 20471 22332 24470 26917 27915 29364 36705 37220 40942 48940 53834 55830 61413 73410 80751 81884 102355 107668 111660 122826 134585 146820 161502 204710 245652 269170 307065 323004 403755 409420 538340 614130 807510 1228260 1615020 4553867 9107734 13661601 18215468 22769335 27323202 45538670 50092537 54646404 68308005 91077340 100185074 136616010 150277611 200370148 250462685 273232020 300555222 500925370 601110444 751388055 1001850740 1502776110 3005552220