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226110046320 = 24335176157681
BaseRepresentation
bin1101001010010100110…
…1011000000001110000
3210121121222221110121000
43102211031120001300
512201033132440240
6251512403002000
722223134453014
oct3224515300160
9717558843530
10226110046320
1187990254484
12379a3969300
1318425813022
14ad2da60544
155d35814430
hex34a5358070

226110046320 has 160 divisors (see below), whose sum is σ = 824636773440. Its totient is φ = 56749178880.

The previous prime is 226110046297. The next prime is 226110046333. The reversal of 226110046320 is 23640011622.

226110046320 is a `hidden beast` number, since 2 + 2 + 611 + 0 + 0 + 46 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×2261100463202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042121 + ... + 3115560.

It is an arithmetic number, because the mean of its divisors is an integer number (5153979834).

Almost surely, 2226110046320 is an apocalyptic number.

226110046320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226110046320 is an abundant number, since it is smaller than the sum of its proper divisors (598526727120).

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

226110046320 is a wasteful number, since it uses less digits than its factorization.

226110046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157720 (or 6157708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 226110046320 its reverse (23640011622), we get a palindrome (249750057942).

The spelling of 226110046320 in words is "two hundred twenty-six billion, one hundred ten million, forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 6157681 12315362 18473043 24630724 30788405 36946086 49261448 55419129 61576810 73892172 92365215 98522896 104680577 110838258 123153620 147784344 166257387 184730430 209361154 221676516 246307240 277095645 295568688 314041731 332514774 369460860 418722308 443353032 492614480 523402885 554191290 628083462 665029548 738921720 831286935 837444616 886706064 942125193 1046805770 1108382580 1256166924 1330059096 1477843440 1570208655 1662573870 1674889232 1884250386 2093611540 2216765160 2512333848 2660118192 2826375579 3140417310 3325147740 3768500772 4187223080 4433530320 4710625965 5024667696 5652751158 6280834620 6650295480 7537001544 8374446160 9421251930 11305502316 12561669240 13300590960 14131877895 15074003088 18842503860 22611004632 25123338480 28263755790 37685007720 45222009264 56527511580 75370015440 113055023160 226110046320