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22248148296 = 233111017431123
BaseRepresentation
bin10100101110000101…
…111100110101001000
32010102111211000221110
4110232011330311020
5331031011221141
614115355010320
71415221066053
oct245605746510
963374730843
1022248148296
119487555120
12438aa399a0
1321373968ba
141110ad7a9a
158a32e8e16
hex52e17cd48

22248148296 has 128 divisors (see below), whose sum is σ = 61414640640. Its totient is φ = 6660192000.

The previous prime is 22248148289. The next prime is 22248148297. The reversal of 22248148296 is 69284184222.

It is not an unprimeable number, because it can be changed into a prime (22248148297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19810791 + ... + 19811913.

It is an arithmetic number, because the mean of its divisors is an integer number (479801880).

Almost surely, 222248148296 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 22248148296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707320320).

22248148296 is an abundant number, since it is smaller than the sum of its proper divisors (39166492344).

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

22248148296 is a wasteful number, since it uses less digits than its factorization.

22248148296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1983 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 22248148296 in words is "twenty-two billion, two hundred forty-eight million, one hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 743 808 1111 1123 1212 1486 2222 2229 2246 2424 2972 3333 3369 4444 4458 4492 5944 6666 6738 8173 8888 8916 8984 12353 13332 13476 16346 17832 24519 24706 26664 26952 32692 37059 49038 49412 65384 74118 75043 98076 98824 113423 148236 150086 196152 225129 226846 296472 300172 340269 450258 453692 600344 680538 825473 834389 900516 907384 1247653 1361076 1650946 1668778 1801032 2476419 2495306 2503167 2722152 3301892 3337556 3742959 4952838 4990612 5006334 6603784 6675112 7485918 9178279 9905676 9981224 10012668 14971836 18356558 19811352 20025336 27534837 29943672 36713116 55069674 73426232 84273289 110139348 168546578 220278696 252819867 337093156 505639734 674186312 927006179 1011279468 1854012358 2022558936 2781018537 3708024716 5562037074 7416049432 11124074148 22248148296