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22189822848 = 273273263863
BaseRepresentation
bin10100101010100111…
…011101001110000000
32010021110001210110200
4110222213131032000
5330421043312343
614105512525200
71413612245034
oct245247351600
963243053420
1022189822848
119457638376
1243733b0800
132128284bbb
1411070741c4
1589d1274d3
hex52a9dd380

22189822848 has 96 divisors (see below), whose sum is σ = 64728477840. Its totient is φ = 7295256576.

The previous prime is 22189822801. The next prime is 22189822937. The reversal of 22189822848 is 84822898122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×221898228482 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22189822794 and 22189822803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47836 + ... + 216027.

Almost surely, 222189822848 is an apocalyptic number.

It is an amenable number.

22189822848 is an abundant number, since it is smaller than the sum of its proper divisors (42538654992).

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

22189822848 is a wasteful number, since it uses less digits than its factorization.

22189822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263956 (or 263941 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

It can be divided in two parts, 22 and 189822848, that added together give a triangular number (189822870 = T19484).

The spelling of 22189822848 in words is "twenty-two billion, one hundred eighty-nine million, eight hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 84096 263863 527726 791589 1055452 1583178 2110904 2374767 3166356 4221808 4749534 6332712 8443616 9499068 12665424 16887232 18998136 19261999 25330848 33774464 37996272 38523998 50661696 57785997 75992544 77047996 101323392 115571994 151985088 154095992 173357991 231143988 303970176 308191984 346715982 462287976 616383968 693431964 924575952 1232767936 1386863928 1849151904 2465535872 2773727856 3698303808 5547455712 7396607616 11094911424 22189822848