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422201005052520 = 233519877392110531
BaseRepresentation
bin101111111111111010101010…
…0111011100001001001101000
32001100220000120222001010010110
41133333311110323201021220
5420314320124243140040
64053540244130014320
7154634005330142511
oct13777652473411150
92040800528033113
10422201005052520
1111258749365a531
123b4294724173a0
13151774cb6a0b45
1476388cdadba08
1533c263c794980
hex17ffd54ee1268

422201005052520 has 128 divisors (see below), whose sum is σ = 1333282159296000. Its totient is φ = 106660040336640.

The previous prime is 422201005052509. The next prime is 422201005052569. The reversal of 422201005052520 is 25250500102224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198989655 + ... + 201100185.

It is an arithmetic number, because the mean of its divisors is an integer number (10416266869500).

Almost surely, 2422201005052520 is an apocalyptic number.

422201005052520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422201005052520 is an abundant number, since it is smaller than the sum of its proper divisors (911081154243480).

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

422201005052520 is a wasteful number, since it uses less digits than its factorization.

422201005052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198303 (or 2198299 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 422201005052520 its reverse (25250500102224), we get a palindrome (447451505154744).

The spelling of 422201005052520 in words is "four hundred twenty-two trillion, two hundred one billion, five million, fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 87739 175478 263217 350956 438695 526434 701912 877390 1052868 1316085 1667041 1754780 2105736 2110531 2632170 3334082 3509560 4221062 5001123 5264340 6331593 6668164 8335205 8442124 10002246 10528680 10552655 12663186 13336328 16670410 16884248 20004492 21105310 25005615 25326372 31657965 33340820 40008984 40100089 42210620 50011230 50652744 63315930 66681640 80200178 84421240 100022460 120300267 126631860 160400356 200044920 200500445 240600534 253263720 320800712 401000890 481201068 601501335 802001780 962402136 1203002670 1604003560 2406005340 4812010680 185175879409 370351758818 555527638227 740703517636 925879397045 1111055276454 1481407035272 1851758794090 2222110552908 2777638191135 3518341708771 3703517588180 4444221105816 5555276382270 7036683417542 7407035176360 10555025126313 11110552764540 14073366835084 17591708543855 21110050252626 22221105529080 28146733670168 35183417087710 42220100505252 52775125631565 70366834175420 84440201010504 105550251263130 140733668350840 211100502526260 422201005052520