Search a number
-
+
2213322020 = 2257132139673
BaseRepresentation
bin1000001111101100…
…1001110100100100
312201020202102000122
42003323021310210
514013102301040
61003343101112
7105563632610
oct20373116444
95636672018
102213322020
11a363a9658
125192a1798
13293717300
1416dd48340
15ce49e1b5
hex83ec9d24

2213322020 has 144 divisors (see below), whose sum is σ = 5802007680. Its totient is φ = 694407168.

The previous prime is 2213322017. The next prime is 2213322031. The reversal of 2213322020 is 202233122.

It is a self number, because there is not a number n which added to its sum of digits gives 2213322020.

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, 3288404 + ... + 3289076.

It is an arithmetic number, because the mean of its divisors is an integer number (40291720).

Almost surely, 22213322020 is an apocalyptic number.

2213322020 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 2213322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901003840).

2213322020 is an abundant number, since it is smaller than the sum of its proper divisors (3588685660).

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

2213322020 is a wasteful number, since it uses less digits than its factorization.

2213322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2213322020 is about 47045.9564681174. The cubic root of 2213322020 is about 1303.2113936860.

Adding to 2213322020 its reverse (202233122), we get a palindrome (2415555142).

The spelling of 2213322020 in words is "two billion, two hundred thirteen million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 139 140 169 182 260 278 338 364 455 556 673 676 695 845 910 973 1183 1346 1390 1690 1807 1820 1946 2366 2692 2780 3365 3380 3614 3892 4711 4732 4865 5915 6730 7228 8749 9035 9422 9730 11830 12649 13460 17498 18070 18844 19460 23491 23555 23660 25298 34996 36140 43745 46982 47110 50596 61243 63245 87490 93547 93964 94220 113737 117455 122486 126490 164437 174980 187094 227474 234910 244972 252980 306215 328874 374188 454948 467735 469820 568685 612430 654829 657748 796159 822185 935470 1137370 1216111 1224860 1309658 1592318 1644370 1870940 2274740 2432222 2619316 3184636 3274145 3288740 3980795 4864444 6080555 6548290 7961590 8512777 12161110 13096580 15809443 15923180 17025554 24322220 31618886 34051108 42563885 63237772 79047215 85127770 110666101 158094430 170255540 221332202 316188860 442664404 553330505 1106661010 2213322020