Search a number
-
+
2022231323310 = 23511371011639811
BaseRepresentation
bin11101011011010110011…
…000010011001010101110
321011022201210000002100220
4131123112120103022232
5231113012204321220
64145000015232210
7266046530430522
oct35332630231256
97138653002326
102022231323310
1170a694954060
12287b09218666
131189072b9a53
146dc3b247d82
1537909aa1540
hex1d6d66132ae

2022231323310 has 128 divisors (see below), whose sum is σ = 5491507373568. Its totient is φ = 472265280000.

The previous prime is 2022231323303. The next prime is 2022231323341. The reversal of 2022231323310 is 133231322202.

It is a super-2 number, since 2×20222313233102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413305 + ... + 2053115.

It is an arithmetic number, because the mean of its divisors is an integer number (42902401356).

Almost surely, 22022231323310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022231323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745753686784).

2022231323310 is an abundant number, since it is smaller than the sum of its proper divisors (3469276050258).

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

2022231323310 is a wasteful number, since it uses less digits than its factorization.

2022231323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639970.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2022231323310 its reverse (133231322202), we get a palindrome (2155462645512).

The spelling of 2022231323310 in words is "two trillion, twenty-two billion, two hundred thirty-one million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 101 110 111 165 185 202 222 303 330 370 407 505 555 606 814 1010 1110 1111 1221 1515 2035 2222 2442 3030 3333 3737 4070 5555 6105 6666 7474 11110 11211 12210 16665 18685 22422 33330 37370 41107 56055 82214 112110 123321 205535 246642 411070 616605 1233210 1639811 3279622 4919433 8199055 9838866 16398110 18037921 24597165 36075842 49194330 54113763 60673007 90189605 108227526 121346014 165620911 180379210 182019021 270568815 303365035 331241822 364038042 496862733 541137630 606730070 667403077 828104555 910095105 993725466 1334806154 1656209110 1820190210 1821830021 2002209231 2484313665 3337015385 3643660042 4004418462 4968627330 5465490063 6127973707 6674030770 9109150105 10011046155 10930980126 12255947414 18218300210 18383921121 20022092310 27327450315 30639868535 36767842242 54654900630 61279737070 67407710777 91919605605 134815421554 183839211210 202223132331 337038553885 404446264662 674077107770 1011115661655 2022231323310