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22420314034300 = 22527135346486241
BaseRepresentation
bin1010001100100001000101…
…10110101001000001111100
32221101100202020022120221101
411012100202312221001330
510414313300343044200
6115403430003342444
74502546165615530
oct506204266510174
987340666276841
1022420314034300
117164446859916
122621259981a24
13c682c3933a80
14577212b7dbc0
1528d30cd5a26a
hex146422da907c

22420314034300 has 144 divisors (see below), whose sum is σ = 61009287780672. Its totient is φ = 6961779302400.

The previous prime is 22420314034277. The next prime is 22420314034331. The reversal of 22420314034300 is 343041302422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22760821 + ... + 23725420.

It is an arithmetic number, because the mean of its divisors is an integer number (423675609588).

Almost surely, 222420314034300 is an apocalyptic number.

22420314034300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420314034300 is an abundant number, since it is smaller than the sum of its proper divisors (38588973746372).

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

22420314034300 is a wasteful number, since it uses less digits than its factorization.

22420314034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46486328 (or 46486321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 22420314034300 its reverse (343041302422), we get a palindrome (22763355336722).

The spelling of 22420314034300 in words is "twenty-two trillion, four hundred twenty billion, three hundred fourteen million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 53 65 70 91 100 106 130 140 175 182 212 260 265 325 350 364 371 455 530 650 689 700 742 910 1060 1300 1325 1378 1484 1820 1855 2275 2650 2756 3445 3710 4550 4823 5300 6890 7420 9100 9275 9646 13780 17225 18550 19292 24115 34450 37100 48230 68900 96460 120575 241150 482300 46486241 92972482 185944964 232431205 325403687 464862410 604321133 650807374 929724820 1162156025 1208642266 1301614748 1627018435 2324312050 2417284532 2463770773 3021605665 3254036870 4230247931 4648624100 4927541546 6043211330 6508073740 8135092175 8460495862 9855083092 12086422660 12318853865 15108028325 16270184350 16920991724 17246395411 21151239655 24637707730 30216056650 32029020049 32540368700 34492790822 42302479310 49275415460 60432113300 61594269325 64058040098 68985581644 84604958620 86231977055 105756198275 123188538650 128116080196 160145100245 172463954110 211512396550 224203140343 246377077300 320290200490 344927908220 423024793100 431159885275 448406280686 640580400980 800725501225 862319770550 896812561372 1121015701715 1601451002450 1724639541100 2242031403430 3202902004900 4484062806860 5605078508575 11210157017150 22420314034300