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22968803980 = 225195310211117
BaseRepresentation
bin10101011001000011…
…000010001010001100
32012021201212010200201
4111121003002022030
5334020003211410
614315101103244
71442121420043
oct253103021214
965251763621
1022968803980
119817322431
124550257b24
132220788995
14117c6cb55a
158e66eb83a
hex5590c228c

22968803980 has 96 divisors (see below), whose sum is σ = 51828154560. Its totient is φ = 8523740160.

The previous prime is 22968803953. The next prime is 22968803981. The reversal of 22968803980 is 8930886922.

It is not an unprimeable number, because it can be changed into a prime (22968803981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20562382 + ... + 20563498.

It is an arithmetic number, because the mean of its divisors is an integer number (539876610).

Almost surely, 222968803980 is an apocalyptic number.

22968803980 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 22968803980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25914077280).

22968803980 is an abundant number, since it is smaller than the sum of its proper divisors (28859350580).

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

22968803980 is a wasteful number, since it uses less digits than its factorization.

22968803980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 22968803980 in words is "twenty-two billion, nine hundred sixty-eight million, eight hundred three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1021 1060 1117 2014 2042 2234 4028 4084 4468 5035 5105 5585 10070 10210 11170 19399 20140 20420 21223 22340 38798 42446 54113 59201 77596 84892 96995 106115 108226 118402 193990 212230 216452 236804 270565 296005 387980 424460 541130 592010 1028147 1082260 1124819 1140457 1184020 2056294 2249638 2280914 4112588 4499276 4561828 5140735 5624095 5702285 10281470 11248190 11404570 20562940 21668683 22496380 22809140 43337366 60444221 86674732 108343415 120888442 216686830 241776884 302221105 433373660 604442210 1148440199 1208884420 2296880398 4593760796 5742200995 11484401990 22968803980