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22020482448 = 243422974197
BaseRepresentation
bin10100100000100001…
…011110010110010000
32002211122102102010000
4110200201132112100
5330044220414243
614041023210000
71406455004166
oct244041362620
962748372100
1022020482448
11937aa96428
124326746900
1320cc173b93
1410cc793236
1588d3275d3
hex52085e590

22020482448 has 100 divisors (see below), whose sum is σ = 64012840540. Its totient is φ = 7308009216.

The previous prime is 22020482437. The next prime is 22020482467. The reversal of 22020482448 is 84428402022.

It is a happy number.

22020482448 is a `hidden beast` number, since 2 + 2 + 0 + 204 + 8 + 2 + 448 = 666.

It is a Cunningham number, because it is equal to 1483932-1.

It can be written as a sum of positive squares in 2 ways, for example, as 8848788624 + 13171693824 = 94068^2 + 114768^2 .

It is a super-3 number, since 3×220204824483 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 259686 + ... + 333882.

Almost surely, 222020482448 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 22020482448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006420270).

22020482448 is an abundant number, since it is smaller than the sum of its proper divisors (41992358092).

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

22020482448 is a wasteful number, since it uses less digits than its factorization.

22020482448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74446 (or 74431 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 22020482448 in words is "twenty-two billion, twenty million, four hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 229 324 432 458 648 687 916 1296 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 18549 24732 32976 37098 49464 74196 74197 98928 148392 148394 222591 296784 296788 445182 593576 667773 890364 1187152 1335546 1780728 2003319 2671092 3561456 4006638 5342184 6009957 8013276 10684368 12019914 16026552 16991113 24039828 32053104 33982226 48079656 50973339 67964452 96159312 101946678 135928904 152920017 203893356 271857808 305840034 407786712 458760051 611680068 815573424 917520102 1223360136 1376280153 1835040204 2446720272 2752560306 3670080408 5505120612 7340160816 11010241224 22020482448