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2002226662660 = 2257172311596341
BaseRepresentation
bin11101001000101110000…
…000100100110100000100
321002102002121201000220111
4131020232000210310010
5230301030011201120
64131451002042404
7264441020552650
oct35105600446404
97072077630814
102002226662660
11702159831464
122840657a9404
13116a6996c943
146cca04aba60
153713871475a
hex1d22e024d04

2002226662660 has 144 divisors (see below), whose sum is σ = 5269307839488. Its totient is φ = 625254451200.

The previous prime is 2002226662537. The next prime is 2002226662717. The reversal of 2002226662660 is 662666222002.

It is a super-3 number, since 3×20022266626603 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456090 + ... + 2052430.

It is an arithmetic number, because the mean of its divisors is an integer number (36592415552).

Almost surely, 22002226662660 is an apocalyptic number.

2002226662660 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 2002226662660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634653919744).

2002226662660 is an abundant number, since it is smaller than the sum of its proper divisors (3267081176828).

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

2002226662660 is a wasteful number, since it uses less digits than its factorization.

2002226662660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596422 (or 1596403 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 2002226662660 in words is "two trillion, two billion, two hundred twenty-six million, six hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 289 310 340 434 476 527 578 595 620 868 1054 1085 1156 1190 1445 2023 2108 2170 2380 2635 2890 3689 4046 4340 5270 5780 7378 8092 8959 10115 10540 14756 17918 18445 20230 35836 36890 40460 44795 62713 73780 89590 125426 179180 250852 313565 627130 1254260 1596341 3192682 6385364 7981705 11174387 15963410 22348774 27137797 31926820 44697548 49486571 54275594 55871935 98973142 108551188 111743870 135688985 189964579 197946284 223487740 247432855 271377970 346405997 379929158 461342549 494865710 542755940 692811994 759858316 841271707 922685098 949822895 989731420 1385623988 1682543414 1732029985 1845370196 1899645790 2306712745 3229397843 3365086828 3464059970 3799291580 4206358535 4613425490 5888901949 6458795686 6928119940 8412717070 9226850980 11777803898 12917591372 14301619019 16146989215 16825434140 23555607796 28603238038 29444509745 32293978430 57206476076 58889019490 64587956860 71508095095 100111333133 117778038980 143016190190 200222666266 286032380380 400445332532 500556665665 1001113331330 2002226662660