Search a number
-
+
22322214031344 = 2435310980499589
BaseRepresentation
bin1010001001101010010111…
…01000110100111111110000
32221000222112110212002122120
411010311023220310333300
510411211343243000334
6115250403352034240
74462504162425153
oct504651350647760
987028473762576
1022322214031344
117126885977707
122606240392980
13c5bc8b956746
145725881c5c9a
1528a9ba82c949
hex144d4ba34ff0

22322214031344 has 80 divisors (see below), whose sum is σ = 59292778010400. Its totient is φ = 7233370979328.

The previous prime is 22322214031331. The next prime is 22322214031391. The reversal of 22322214031344 is 44313041222322.

It is a happy number.

It is a super-3 number, since 3×223222140313443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39972499 + ... + 40527090.

It is an arithmetic number, because the mean of its divisors is an integer number (741159725130).

Almost surely, 222322214031344 is an apocalyptic number.

22322214031344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22322214031344 is an abundant number, since it is smaller than the sum of its proper divisors (36970563979056).

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

22322214031344 is a wasteful number, since it uses less digits than its factorization.

22322214031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80499762 (or 80499756 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 22322214031344 its reverse (44313041222322), we get a palindrome (66635255253666).

The spelling of 22322214031344 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred fourteen million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 109 159 212 218 318 327 424 436 636 654 848 872 1272 1308 1744 2544 2616 5232 5777 11554 17331 23108 34662 46216 69324 92432 138648 277296 80499589 160999178 241498767 321998356 482997534 643996712 965995068 1287993424 1931990136 3863980272 4266478217 8532956434 8774455201 12799434651 17065912868 17548910402 25598869302 26323365603 34131825736 35097820804 51197738604 52646731206 68263651472 70195641608 102395477208 105293462412 140391283216 204790954416 210586924824 421173849648 465046125653 930092251306 1395138376959 1860184502612 2790276753918 3720369005224 5580553507836 7440738010448 11161107015672 22322214031344