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22443112234340 = 22572205311154961
BaseRepresentation
bin1010001101001011100011…
…01110110111110101100100
32221110112121002011011000122
411012211301232313311210
510420201443212444330
6115422120132101112
74504314146253200
oct506456156676544
987415532134018
1022443112234340
117173085846a56
122625760a64798
13c6a4b7c58575
1457837693bb00
1528dbe45a75e5
hex146971bb7d64

22443112234340 has 72 divisors (see below), whose sum is σ = 54852026923512. Its totient is φ = 7691032581120.

The previous prime is 22443112234321. The next prime is 22443112234379. The reversal of 22443112234340 is 4343221134422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113385745984 + 22329726488356 = 336728^2 + 4725434^2 .

It is a super-3 number, since 3×224431122343403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22443112234340.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3565541 + ... + 7589420.

It is an arithmetic number, because the mean of its divisors is an integer number (761833707271).

Almost surely, 222443112234340 is an apocalyptic number.

22443112234340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22443112234340 is an abundant number, since it is smaller than the sum of its proper divisors (32408914689172).

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

22443112234340 is a wasteful number, since it uses less digits than its factorization.

22443112234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157037 (or 11157028 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 22443112234340 its reverse (4343221134422), we get a palindrome (26786333368762).

The spelling of 22443112234340 in words is "twenty-two trillion, four hundred forty-three billion, one hundred twelve million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2053 4106 8212 10265 14371 20530 28742 41060 57484 71855 100597 143710 201194 287420 402388 502985 1005970 2011940 11154961 22309922 44619844 55774805 78084727 111549610 156169454 223099220 312338908 390423635 546593089 780847270 1093186178 1561694540 2186372356 2732965445 5465930890 10931861780 22901134933 45802269866 91604539732 114505674665 160307944531 229011349330 320615889062 458022698660 641231778124 801539722655 1122155611717 1603079445310 2244311223434 3206158890620 4488622446868 5610778058585 11221556117170 22443112234340