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2001002220 = 2232572226871
BaseRepresentation
bin111011101000100…
…1101111011101100
312011110020110000100
41313101031323230
513044224032340
6530320231100
7100405144500
oct16721157354
95143213010
102001002220
11937571648
1247a16b490
1325b7385a9
1414da7a300
15baa0e830
hex7744deec

2001002220 has 108 divisors (see below), whose sum is σ = 7060710384. Its totient is φ = 457369920.

The previous prime is 2001002207. The next prime is 2001002239. The reversal of 2001002220 is 222001002.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 104616 + ... + 122255.

It is an arithmetic number, because the mean of its divisors is an integer number (65376948).

Almost surely, 22001002220 is an apocalyptic number.

2001002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001002220 is an abundant number, since it is smaller than the sum of its proper divisors (5059708164).

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

2001002220 is a wasteful number, since it uses less digits than its factorization.

2001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226900 (or 226888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2001002220 is about 44732.5633068350. The cubic root of 2001002220 is about 1260.1314677637.

Adding to 2001002220 its reverse (222001002), we get a palindrome (2223003222).

The spelling of 2001002220 in words is "two billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 226871 453742 680613 907484 1134355 1361226 1588097 2041839 2268710 2722452 3176194 3403065 4083678 4537420 4764291 6352388 6806130 7940485 8167356 9528582 10209195 11116679 13612260 14292873 15880970 19057164 20418390 22233358 23821455 28585746 31761940 33350037 40836780 44466716 47642910 55583395 57171492 66700074 71464365 95285820 100050111 111166790 133400148 142928730 166750185 200100222 222333580 285857460 333500370 400200444 500250555 667000740 1000501110 2001002220