Search a number
-
+
22353454304000 = 28531709940853
BaseRepresentation
bin1010001010100100100011…
…01101000000101100000000
32221010222011122221101020222
411011102101231000230000
510412214333300212000
6115313011331322212
74464661302364241
oct505222155005400
987128148841228
1022353454304000
117139057223966
1226102ba750368
13c61bc9c73991
14573cad244cc8
1528b6e8299a85
hex145491b40b00

22353454304000 has 144 divisors (see below), whose sum is σ = 55689868634400. Its totient is φ = 8940639948800.

The previous prime is 22353454303997. The next prime is 22353454304009. The reversal of 22353454304000 is 40345435322.

It is a happy number.

It is a super-2 number, since 2×223534543040002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22353454304009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547147574 + ... + 547188426.

It is an arithmetic number, because the mean of its divisors is an integer number (386735198850).

Almost surely, 222353454304000 is an apocalyptic number.

22353454304000 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 22353454304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27844934317200).

22353454304000 is an abundant number, since it is smaller than the sum of its proper divisors (33336414330400).

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

22353454304000 is an equidigital number, since it uses as much as digits as its factorization.

22353454304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57983 (or 57959 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 22353454304000 its reverse (40345435322), we get a palindrome (22393799739322).

The spelling of 22353454304000 in words is "twenty-two trillion, three hundred fifty-three billion, four hundred fifty-four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 17099 32000 34198 40853 68396 81706 85495 136792 163412 170990 204265 273584 326824 341980 408530 427475 547168 653648 683960 817060 854950 1021325 1094336 1307296 1367920 1634120 1709900 2042650 2137375 2188672 2614592 2735840 3268240 3419800 4085300 4274750 4377344 5106625 5229184 5471680 6536480 6839600 8170600 8549500 10213250 10458368 10943360 13072960 13679200 16341200 17099000 20426500 21886720 26145920 27358400 32682400 34198000 40853000 52291840 54716800 65364800 68396000 81706000 109433600 130729600 136792000 163412000 261459200 273584000 326824000 547168000 653648000 698545447 1307296000 1397090894 2794181788 3492727235 5588363576 6985454470 11176727152 13970908940 17463636175 22353454304 27941817880 34927272350 44706908608 55883635760 69854544700 87318180875 89413817216 111767271520 139709089400 174636361750 178827634432 223534543040 279418178800 349272723500 447069086080 558836357600 698545447000 894138172160 1117672715200 1397090894000 2235345430400 2794181788000 4470690860800 5588363576000 11176727152000 22353454304000