Search a number
-
+
4022224310020 = 2257711511267803
BaseRepresentation
bin111010100001111111010…
…000000100111100000100
3112020112001201122121220111
4322201333100010330010
51011400003410410040
612315441230042404
7563411316345640
oct72417720047404
915215051577814
104022224310020
1113108a7844734
1254b64a949404
132323a9266b37
14dc968bcdc20
156e962145dea
hex3a87f404f04

4022224310020 has 96 divisors (see below), whose sum is σ = 9795816124416. Its totient is φ = 1358720227200.

The previous prime is 4022224310009. The next prime is 4022224310047. The reversal of 4022224310020 is 200134222204.

It is a junction number, because it is equal to n+sod(n) for n = 4022224309973 and 4022224310000.

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, 14885439 + ... + 15153241.

It is an arithmetic number, because the mean of its divisors is an integer number (102039751296).

Almost surely, 24022224310020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022224310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897908062208).

4022224310020 is an abundant number, since it is smaller than the sum of its proper divisors (5773591814396).

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

4022224310020 is a wasteful number, since it uses less digits than its factorization.

4022224310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269401 (or 269399 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4022224310020 its reverse (200134222204), we get a palindrome (4222358532224).

The spelling of 4022224310020 in words is "four trillion, twenty-two billion, two hundred twenty-four million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1511 1988 2485 3022 4970 6044 7555 9940 10577 15110 21154 30220 42308 52885 105770 107281 211540 214562 267803 429124 535606 536405 750967 1071212 1072810 1339015 1501934 1874621 2145620 2678030 3003868 3749242 3754835 5356060 7498484 7509670 9373105 15019340 18746210 19014013 37492420 38028026 76056052 95070065 133098091 190140130 266196182 380280260 404650333 532392364 665490455 809300666 1330980910 1618601332 2023251665 2661961820 2832552331 4046503330 5665104662 8093006660 11330209324 14162761655 28325523310 28730173643 56651046620 57460347286 114920694572 143650868215 201111215501 287301736430 402222431002 574603472860 804444862004 1005556077505 2011112155010 4022224310020