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226717618688 = 2911219132
BaseRepresentation
bin1101001100100101101…
…1000101001000000000
3210200012100012100012022
43103021123011020000
512203304202244223
6252052545221012
722244162651021
oct3231133051000
9720170170168
10226717618688
1188172204600
1237b33331768
13184c16604c2
14ad8a618c48
155d6dd2aac8
hex34c96c5200

226717618688 has 90 divisors (see below), whose sum is σ = 498177715497. Its totient is φ = 102999592960.

The previous prime is 226717618667. The next prime is 226717618711. The reversal of 226717618688 is 886816717622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 189440821504 + 37276797184 = 435248^2 + 193072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336688.

It is a self number, because there is not a number n which added to its sum of digits gives 226717618688.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118513220 + ... + 118515132.

Almost surely, 2226717618688 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 226717618688

226717618688 is an abundant number, since it is smaller than the sum of its proper divisors (271460096809).

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

226717618688 is an frugal number, since it uses more digits than its factorization.

226717618688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 1926 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 62.

The spelling of 226717618688 in words is "two hundred twenty-six billion, seven hundred seventeen million, six hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1913 1936 2816 3826 3872 5632 7652 7744 15304 15488 21043 30608 30976 42086 61216 61952 84172 122432 168344 231473 244864 336688 462946 489728 673376 925892 979456 1346752 1851784 2693504 3659569 3703568 5387008 7319138 7407136 10774016 14638276 14814272 29276552 29628544 40255259 58553104 59257088 80510518 117106208 118514176 161021036 234212416 322042072 442807849 468424832 644084144 885615698 936849664 1288168288 1771231396 1873699328 2576336576 3542462792 5152673152 7084925584 10305346304 14169851168 20610692608 28339702336 56679404672 113358809344 226717618688