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482225022000 = 2433538930093
BaseRepresentation
bin1110000010001101101…
…10011110010000110000
31201002201002110021101000
413001012312132100300
530400044101201000
61005310415442000
746560662025141
oct7010666362060
91632632407330
10482225022000
111765684a9437
1279560226300
1336620725a07
14194a864dac8
15c8253c8000
hex7046d9e430

482225022000 has 160 divisors (see below), whose sum is σ = 1727437383360. Its totient is φ = 128593324800.

The previous prime is 482225021989. The next prime is 482225022017. The reversal of 482225022000 is 220522284.

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

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, 4411047 + ... + 4519046.

It is an arithmetic number, because the mean of its divisors is an integer number (10796483646).

Almost surely, 2482225022000 is an apocalyptic number.

482225022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482225022000 is an abundant number, since it is smaller than the sum of its proper divisors (1245212361360).

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

482225022000 is a wasteful number, since it uses less digits than its factorization.

482225022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930125 (or 8930103 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 482225022000 its reverse (220522284), we get a palindrome (482445544284).

The spelling of 482225022000 in words is "four hundred eighty-two billion, two hundred twenty-five million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 8930093 17860186 26790279 35720372 44650465 53580558 71440744 80370837 89300930 107161116 133951395 142881488 160741674 178601860 214322232 223252325 241112511 267902790 321483348 357203720 401854185 428644464 446504650 482225022 535805580 642966696 669756975 714407440 803708370 893009300 964450044 1071611160 1116261625 1205562555 1285933392 1339513950 1607416740 1786018600 1928900088 2009270925 2143222320 2232523250 2411125110 2679027900 3214833480 3348784875 3572037200 3857800176 4018541850 4465046500 4822250220 5358055800 6027812775 6429666960 6697569750 8037083700 8930093000 9644500440 10046354625 10716111600 12055625550 13395139500 16074167400 17860186000 19289000880 20092709250 24111251100 26790279000 30139063875 32148334800 40185418500 48222502200 53580558000 60278127750 80370837000 96445004400 120556255500 160741674000 241112511000 482225022000