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2006912220 = 2235174741863
BaseRepresentation
bin111011110011111…
…0000110011011100
312011212100201000020
41313213300303130
513102232142340
6531051032140
7100506321015
oct16747606334
95155321006
102006912220
1193a938945
1248013b650
1325ca27631
1415077800c
15bb2ca9d0
hex779f0cdc

2006912220 has 96 divisors (see below), whose sum is σ = 6076643328. Its totient is φ = 492966912.

The previous prime is 2006912209. The next prime is 2006912231. The reversal of 2006912220 is 222196002.

It is an interprime number because it is at equal distance from previous prime (2006912209) and next prime (2006912231).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27009 + ... + 68871.

It is an arithmetic number, because the mean of its divisors is an integer number (63298368).

Almost surely, 22006912220 is an apocalyptic number.

2006912220 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 2006912220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038321664).

2006912220 is an abundant number, since it is smaller than the sum of its proper divisors (4069731108).

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

2006912220 is a wasteful number, since it uses less digits than its factorization.

2006912220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41939 (or 41937 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2006912220 is about 44798.5738612291. The cubic root of 2006912220 is about 1261.3708561920.

The spelling of 2006912220 in words is "two billion, six million, nine hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 9588 11985 15980 23970 41863 47940 83726 125589 167452 209315 251178 418630 502356 627945 711671 837260 1255890 1423342 1967561 2135013 2511780 2846684 3558355 3935122 4270026 5902683 7116710 7870244 8540052 9837805 10675065 11805366 14233420 19675610 21350130 23610732 29513415 33448537 39351220 42700260 59026830 66897074 100345611 118053660 133794148 167242685 200691222 334485370 401382444 501728055 668970740 1003456110 2006912220