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22980382992 = 243472361873
BaseRepresentation
bin10101011001101111…
…001101000100010000
32012022112122102010000
4111121233031010100
5334030434223432
614320153210000
71442322014100
oct253157150420
965275572100
1022980382992
119822910966
124554100900
132222cb1178
141180063200
158e773757c
hex559bcd110

22980382992 has 150 divisors (see below), whose sum is σ = 77371194318. Its totient is φ = 6565805568.

The previous prime is 22980382951. The next prime is 22980383011. The reversal of 22980382992 is 29928308922.

It can be written as a sum of positive squares in only one way, i.e., 21956126976 + 1024256016 = 148176^2 + 32004^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117433 + ... + 244440.

Almost surely, 222980382992 is an apocalyptic number.

It is an amenable number.

22980382992 is an abundant number, since it is smaller than the sum of its proper divisors (54390811326).

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

22980382992 is a wasteful number, since it uses less digits than its factorization.

22980382992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361907 (or 361885 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22980382992 in words is "twenty-two billion, nine hundred eighty million, three hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 361873 723746 1085619 1447492 2171238 2533111 2894984 3256857 4342476 5066222 5789968 6513714 7599333 8684952 9770571 10132444 13027428 15198666 17369904 17731777 19541142 20264888 22797999 26054856 29311713 30397332 35463554 39082284 40529776 45595998 52109712 53195331 58623426 60794664 68393997 70927108 78164568 91191996 106390662 117246852 121589328 136787994 141854216 156329136 159585993 182383992 205181991 212781324 234493704 273575988 283708432 319171986 364767984 410363982 425562648 468987408 478757979 547151976 638343972 820727964 851125296 957515958 1094303952 1276687944 1436273937 1641455928 1915031916 2553375888 2872547874 3282911856 3830063832 5745095748 7660127664 11490191496 22980382992