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22010010984 = 23331329270287
BaseRepresentation
bin10100011111111001…
…100001110101101000
32002210220201101222000
4110133321201311220
5330034030322414
614040010531000
71406300002143
oct243771416550
962726641860
1022010010984
119375094025
124323136a60
1320c9c48850
1410cb22905a
1588c459b09
hex51fe61d68

22010010984 has 128 divisors (see below), whose sum is σ = 68112576000. Its totient is φ = 6538758912.

The previous prime is 22010010961. The next prime is 22010011039. The reversal of 22010010984 is 48901001022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 53712 + ... + 216575.

It is an arithmetic number, because the mean of its divisors is an integer number (532129500).

Almost surely, 222010010984 is an apocalyptic number.

22010010984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22010010984 is an abundant number, since it is smaller than the sum of its proper divisors (46102565016).

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

22010010984 is a wasteful number, since it uses less digits than its factorization.

22010010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270344 (or 270334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 22010010984 in words is "twenty-two billion, ten million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 2088 2262 2808 3016 3132 3393 4524 6264 6786 9048 10179 13572 20358 27144 40716 81432 270287 540574 810861 1081148 1621722 2162296 2432583 3243444 3513731 4865166 6486888 7027462 7297749 7838323 9730332 10541193 14054924 14595498 15676646 19460664 21082386 23514969 28109848 29190996 31353292 31623579 42164772 47029938 58381992 62706584 63247158 70544907 84329544 94059876 94870737 101898199 126494316 141089814 188119752 189741474 203796398 211634721 252988632 282179628 305694597 379482948 407592796 423269442 564359256 611389194 758965896 815185592 846538884 917083791 1222778388 1693077768 1834167582 2445556776 2751251373 3668335164 5502502746 7336670328 11005005492 22010010984