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2241023223120 = 2435115316016461
BaseRepresentation
bin100000100111000111011…
…001001010010101010000
321221020110202120012012120
4200213013121022111100
5243204103421114440
64433302321054240
7320623434045453
oct40470731122520
97836422505176
102241023223120
1179445a205770
123023aa187380
13133434914466
147a674db349a
153d462ba5dd0
hex209c764a550

2241023223120 has 160 divisors (see below), whose sum is σ = 7721728527744. Its totient is φ = 533027788800.

The previous prime is 2241023223113. The next prime is 2241023223139. The reversal of 2241023223120 is 213223201422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 7868311 + ... + 8148150.

Almost surely, 22241023223120 is an apocalyptic number.

2241023223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241023223120 is an abundant number, since it is smaller than the sum of its proper divisors (5480705304624).

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

2241023223120 is a wasteful number, since it uses less digits than its factorization.

2241023223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016541 (or 16016535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2241023223120 its reverse (213223201422), we get a palindrome (2454246424542).

The spelling of 2241023223120 in words is "two trillion, two hundred forty-one billion, twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 46640 69960 139920 16016461 32032922 48049383 64065844 80082305 96098766 128131688 160164610 176181071 192197532 240246915 256263376 320329220 352362142 384395064 480493830 528543213 640658440 704724284 768790128 848872433 880905355 960987660 1057086426 1281316880 1409448568 1697744866 1761810710 1921975320 2114172852 2546617299 2642716065 2818897136 3395489732 3523621420 3843950640 4228345704 4244362165 5093234598 5285432130 6790979464 7047242840 8456691408 8488724330 9337596763 10186469196 10570864260 12733086495 13581958928 14094485680 16977448660 18675193526 20372938392 21141728520 25466172990 28012790289 33954897320 37350387052 40745876784 42283457040 46687983815 50932345980 56025580578 67909794640 74700774104 93375967630 101864691960 112051161156 140063951445 149401548208 186751935260 203729383920 224102322312 280127902890 373503870520 448204644624 560255805780 747007741040 1120511611560 2241023223120