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22212302104104 = 2337891907779011
BaseRepresentation
bin1010000110011101101000…
…11000000110011000101000
32220122110211112011200101120
411003032310120012120220
510402411243314312404
6115124105110015240
74451533360442460
oct503166430063050
986573745150346
1022212302104104
117094203511a02
1225a8a87047520
13c517c37854c8
1456b11c9aaba0
15287bd63309d9
hex1433b4606628

22212302104104 has 128 divisors (see below), whose sum is σ = 64210531507200. Its totient is φ = 6271765885440.

The previous prime is 22212302104049. The next prime is 22212302104127. The reversal of 22212302104104 is 40140120321222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28123959 + ... + 28902969.

It is an arithmetic number, because the mean of its divisors is an integer number (501644777400).

Almost surely, 222212302104104 is an apocalyptic number.

22212302104104 is a gapful number since it is divisible by the number (24) 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 22212302104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32105265753600).

22212302104104 is an abundant number, since it is smaller than the sum of its proper divisors (41998229403096).

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

22212302104104 is a wasteful number, since it uses less digits than its factorization.

22212302104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781023 (or 781019 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22212302104104 its reverse (40140120321222), we get a palindrome (62352422425326).

The spelling of 22212302104104 in words is "twenty-two trillion, two hundred twelve billion, three hundred two million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 1907 2136 2492 3738 3814 4984 5721 7476 7628 11442 13349 14952 15256 22884 26698 40047 45768 53396 80094 106792 160188 169723 320376 339446 509169 678892 779011 1018338 1188061 1357784 1558022 2036676 2337033 2376122 3116044 3564183 4073352 4674066 4752244 5453077 6232088 7128366 9348132 9504488 10906154 14256732 16359231 18696264 21812308 28513464 32718462 43624616 65436924 69331979 130873848 138663958 207995937 277327916 415991874 485323853 554655832 831983748 970647706 1455971559 1485573977 1663967496 1941295412 2911943118 2971147954 3882590824 4456721931 5823886236 5942295908 8913443862 10399017839 11647772472 11884591816 17826887724 20798035678 31197053517 35653775448 41596071356 62394107034 83192142712 124788214068 132216083953 249576428136 264432167906 396648251859 528864335812 793296503718 925512587671 1057728671624 1586593007436 1851025175342 2776537763013 3173186014872 3702050350684 5553075526026 7404100701368 11106151052052 22212302104104