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222001200020000 = 255427140959631
BaseRepresentation
bin110010011110100010101110…
…101010101011101000100000
31002010001002220022222202011102
4302132202232222223220200
5213044231424201120000
62104053535433133532
764522025456005202
oct6236425652535040
91063032808882142
10222001200020000
11648111a8940a35
1220a953a085a2a8
1396b481460758b
143cb6cb5c68772
151a9eb624443d5
hexc9e8aeaaba20

222001200020000 has 120 divisors (see below), whose sum is σ = 548171602336512. Its totient is φ = 88472800800000.

The previous prime is 222001200019913. The next prime is 222001200020009. The reversal of 222001200020000 is 20002100222.

It is not an unprimeable number, because it can be changed into a prime (222001200020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15059816 + ... + 25899815.

Almost surely, 2222001200020000 is an apocalyptic number.

222001200020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001200020000 is an abundant number, since it is smaller than the sum of its proper divisors (326170402316512).

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

222001200020000 is an equidigital number, since it uses as much as digits as its factorization.

222001200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40959932 (or 40959909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222001200020000 its reverse (20002100222), we get a palindrome (222021202120222).

The spelling of 222001200020000 in words is "two hundred twenty-two trillion, one billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 271 400 500 542 625 800 1000 1084 1250 1355 2000 2168 2500 2710 4000 4336 5000 5420 6775 8672 10000 10840 13550 20000 21680 27100 33875 43360 54200 67750 108400 135500 169375 216800 271000 338750 542000 677500 1084000 1355000 2710000 5420000 40959631 81919262 163838524 204798155 327677048 409596310 655354096 819192620 1023990775 1310708192 1638385240 2047981550 3276770480 4095963100 5119953875 6553540960 8191926200 10239907750 11100060001 16383852400 20479815500 22200120002 25599769375 32767704800 40959631000 44400240004 51199538750 55500300005 81919262000 88800480008 102399077500 111000600010 163838524000 177600960016 204798155000 222001200020 277501500025 355201920032 409596310000 444002400040 555003000050 819192620000 888004800080 1110006000100 1387507500125 1776009600160 2220012000200 2775015000250 4440024000400 5550030000500 6937537500625 8880048000800 11100060001000 13875075001250 22200120002000 27750150002500 44400240004000 55500300005000 111000600010000 222001200020000