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226611320544 = 2534712489601
BaseRepresentation
bin1101001100001100010…
…1100101011011100000
3210122220221011211120000
43103003011211123200
512203044444224134
6252034231020000
722241432304630
oct3230305453340
9718827154500
10226611320544
11881182011a4
1237b0380a600
13184a56230ab
14ad7a4686c0
155d6482ee99
hex34c31656e0

226611320544 has 120 divisors (see below), whose sum is σ = 761665888368. Its totient is φ = 64746086400.

The previous prime is 226611320531. The next prime is 226611320567. The reversal of 226611320544 is 445023116622.

226611320544 is a `hidden beast` number, since 2 + 2 + 6 + 611 + 32 + 0 + 5 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226611320499 and 226611320508.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6226657 + ... + 6262944.

Almost surely, 2226611320544 is an apocalyptic number.

226611320544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226611320544 is an abundant number, since it is smaller than the sum of its proper divisors (535054567824).

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

226611320544 is a wasteful number, since it uses less digits than its factorization.

226611320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12489630 (or 12489613 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 226611320544 in words is "two hundred twenty-six billion, six hundred eleven million, three hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 12489601 24979202 37468803 49958404 74937606 87427207 99916808 112406409 149875212 174854414 199833616 224812818 262281621 299750424 337219227 349708828 399667232 449625636 524563242 599500848 674438454 699417656 786844863 899251272 1011657681 1049126484 1199001696 1348876908 1398835312 1573689726 1798502544 2023315362 2098252968 2360534589 2697753816 2797670624 3147379452 3597005088 4046630724 4196505936 4721069178 5395507632 6294758904 7081603767 8093261448 8393011872 9442138356 10791015264 12589517808 14163207534 16186522896 18884276712 25179035616 28326415068 32373045792 37768553424 56652830136 75537106848 113305660272 226611320544