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22864226151104 = 261347912764063
BaseRepresentation
bin1010011001011011111100…
…00100111110101011000000
32222221210120020021121210122
411030231332010332223000
510444101413343313404
6120343402552515412
74546612560425642
oct514557604765300
988853506247718
1022864226151104
117315733658538
1226932a70abb68
13c9b119985780
145908c4d08892
15299b3e9013be
hex14cb7e13eac0

22864226151104 has 112 divisors (see below), whose sum is σ = 49907139330048. Its totient is φ = 10326900999168.

The previous prime is 22864226151103. The next prime is 22864226151133. The reversal of 22864226151104 is 40115162246822.

It is not an unprimeable number, because it can be changed into a prime (22864226151103) by changing a digit.

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, 356870177 + ... + 356934239.

It is an arithmetic number, because the mean of its divisors is an integer number (445599458304).

Almost surely, 222864226151104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22864226151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953569665024).

22864226151104 is an abundant number, since it is smaller than the sum of its proper divisors (27042913178944).

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

22864226151104 is a wasteful number, since it uses less digits than its factorization.

22864226151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73262 (or 73252 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

Adding to 22864226151104 its reverse (40115162246822), we get a palindrome (62979388397926).

The spelling of 22864226151104 in words is "twenty-two trillion, eight hundred sixty-four billion, two hundred twenty-six million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2444 3008 4888 9127 9776 18254 19552 36508 39104 64063 73016 118651 128126 146032 237302 256252 292064 428969 474604 512504 584128 832819 857938 949208 1025008 1665638 1715876 1898416 2050016 3010961 3331276 3431752 3796832 4100032 5576597 6021922 6662552 6863504 7593664 11153194 12043844 13325104 13727008 22306388 24087688 26650208 27454016 39142493 44612776 48175376 53300416 78284986 89225552 96350752 156569972 178451104 192701504 313139944 356902208 584703001 626279888 1169406002 1252559776 2338812004 2505119552 4677624008 7601139013 9355248016 15202278026 18710496032 27481041047 30404556052 37420992064 54962082094 60809112104 109924164188 121618224208 219848328376 243236448416 357253533611 439696656752 486472896832 714507067222 879393313504 1429014134444 1758786627008 2858028268888 5716056537776 11432113075552 22864226151104