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22254122130500 = 2253138641396217
BaseRepresentation
bin1010000111101011100010…
…00010110101110001000100
32220210110210000221010202002
411003311301002311301010
510404102420231134000
6115155222542204432
74454543615006621
oct503656102656104
986713700833662
1022254122130500
1170aaa13862797
1225b4bb8583718
13c5572991a260
1456d168b85348
15288d329c98d5
hex143d710b5c44

22254122130500 has 96 divisors (see below), whose sum is σ = 52347884735328. Its totient is φ = 8215934976000.

The previous prime is 22254122130469. The next prime is 22254122130521. The reversal of 22254122130500 is 503122145222.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18506033874496 + 3748088256004 = 4301864^2 + 1935998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55968392 + ... + 56364608.

It is an arithmetic number, because the mean of its divisors is an integer number (545290465993).

Almost surely, 222254122130500 is an apocalyptic number.

22254122130500 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 22254122130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26173942367664).

22254122130500 is an abundant number, since it is smaller than the sum of its proper divisors (30093762604828).

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

22254122130500 is a wasteful number, since it uses less digits than its factorization.

22254122130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404890 (or 404878 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 22254122130500 its reverse (503122145222), we get a palindrome (22757244275722).

The spelling of 22254122130500 in words is "twenty-two trillion, two hundred fifty-four billion, one hundred twenty-two million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 8641 17282 34564 43205 86410 112333 172820 216025 224666 396217 432050 449332 561665 792434 864100 1080125 1123330 1584868 1981085 2160250 2246660 2808325 3962170 4320500 5150821 5616650 7924340 9905425 10301642 11233300 14041625 19810850 20603284 25754105 28083250 39621700 49527125 51508210 56166500 99054250 103016420 128770525 198108500 257541050 515082100 643852625 1287705250 2575410500 3423711097 6847422194 13694844388 17118555485 34237110970 44508244261 68474221940 85592777425 89016488522 171185554850 178032977044 222541221305 342371109700 427963887125 445082442610 855927774250 890164885220 1112706106525 1711855548500 2225412213050 4450824426100 5563530532625 11127061065250 22254122130500