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2222002120 = 2351319239941
BaseRepresentation
bin1000010001110001…
…0000111111001000
312201212002101212211
42010130100333020
514022313031440
61004253114504
7106030464202
oct20434207710
95655071784
102222002120
11a40298098
12520188a34
13295466170
14171167772
15d0115eea
hex84710fc8

2222002120 has 128 divisors (see below), whose sum is σ = 5697216000. Its totient is φ = 773176320.

The previous prime is 2222002117. The next prime is 2222002141. The reversal of 2222002120 is 212002222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2222002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360850 + ... + 2361790.

It is an arithmetic number, because the mean of its divisors is an integer number (44509500).

Almost surely, 22222002120 is an apocalyptic number.

2222002120 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 2222002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848608000).

2222002120 is an abundant number, since it is smaller than the sum of its proper divisors (3475213880).

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

2222002120 is a wasteful number, since it uses less digits than its factorization.

2222002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2222002120 is about 47138.1174846854. The cubic root of 2222002120 is about 1304.9127954137.

Adding to 2222002120 its reverse (212002222), we get a palindrome (2434004342).

The spelling of 2222002120 in words is "two billion, two hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 239 247 260 380 478 494 520 760 941 956 988 1195 1235 1882 1912 1976 2390 2470 3107 3764 4541 4705 4780 4940 6214 7528 9082 9410 9560 9880 12233 12428 15535 17879 18164 18820 22705 24466 24856 31070 35758 36328 37640 45410 48932 59033 61165 62140 71516 89395 90820 97864 118066 122330 124280 143032 178790 181640 224899 232427 236132 244660 295165 357580 449798 464854 472264 489320 590330 715160 899596 929708 1124495 1162135 1180660 1799192 1859416 2248990 2324270 2361320 2923687 4273081 4497980 4648540 5847374 8546162 8995960 9297080 11694748 14618435 17092324 21365405 23389496 29236870 34184648 42730810 55550053 58473740 85461620 111100106 116947480 170923240 222200212 277750265 444400424 555500530 1111001060 2222002120