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220012423080 = 233517591827953
BaseRepresentation
bin1100110011100111000…
…0110010011110101000
3210000220001012010000020
43030321300302132220
512101041140014310
6245023341440440
721616053511542
oct3147160623650
9700801163006
10220012423080
118534130592a
1236781870120
1317993456538
14a911cbc692
155aca346170
hex3339c327a8

220012423080 has 128 divisors (see below), whose sum is σ = 710708515200. Its totient is φ = 54282862592.

The previous prime is 220012423079. The next prime is 220012423151. The reversal of 220012423080 is 80324210022.

220012423080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220012423080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793617 + ... + 1034336.

It is an arithmetic number, because the mean of its divisors is an integer number (5552410275).

Almost surely, 2220012423080 is an apocalyptic number.

220012423080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012423080 is an abundant number, since it is smaller than the sum of its proper divisors (490696092120).

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

220012423080 is a wasteful number, since it uses less digits than its factorization.

220012423080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828043 (or 1828039 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 220012423080 in words is "two hundred twenty billion, twelve million, four hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 59 60 68 85 102 118 120 136 170 177 204 236 255 295 340 354 408 472 510 590 680 708 885 1003 1020 1180 1416 1770 2006 2040 2360 3009 3540 4012 5015 6018 7080 8024 10030 12036 15045 20060 24072 30090 40120 60180 120360 1827953 3655906 5483859 7311812 9139765 10967718 14623624 18279530 21935436 27419295 31075201 36559060 43870872 54838590 62150402 73118120 93225603 107849227 109677180 124300804 155376005 186451206 215698454 219354360 248601608 310752010 323547681 372902412 431396908 466128015 539246135 621504020 647095362 745804824 862793816 932256030 1078492270 1243008040 1294190724 1617738405 1833436859 1864512060 2156984540 2588381448 3235476810 3666873718 3729024120 4313969080 5500310577 6470953620 7333747436 9167184295 11000621154 12941907240 14667494872 18334368590 22001242308 27501552885 36668737180 44002484616 55003105770 73337474360 110006211540 220012423080