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222034420133120 = 2857223111123889
BaseRepresentation
bin110010011111000001101010…
…101111010110110100000000
31002010011021122111111100022102
4302133001222233112310000
5213100302443023224440
62104121112055325532
764524312626214020
oct6237015257266400
91063137574440272
10222034420133120
11648242a5815681
1220a9b9120808a8
1396b79a9b60c4a
143cb8747c15a80
151aa0958ae0b15
hexc9f06abd6d00

222034420133120 has 144 divisors (see below), whose sum is σ = 610544877358080. Its totient is φ = 75784713633792.

The previous prime is 222034420133101. The next prime is 222034420133131. The reversal of 222034420133120 is 21331024430222.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53563865 + ... + 57560024.

Almost surely, 2222034420133120 is an apocalyptic number.

222034420133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222034420133120 is an abundant number, since it is smaller than the sum of its proper divisors (388510457224960).

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

222034420133120 is a wasteful number, since it uses less digits than its factorization.

222034420133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111124140 (or 111124126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 222034420133120 its reverse (21331024430222), we get a palindrome (243365444563342).

The spelling of 222034420133120 in words is "two hundred twenty-two trillion, thirty-four billion, four hundred twenty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 256 280 320 446 448 560 640 892 896 1115 1120 1280 1561 1784 1792 2230 2240 3122 3568 4460 4480 6244 7136 7805 8920 8960 12488 14272 15610 17840 24976 28544 31220 35680 49952 57088 62440 71360 99904 124880 142720 199808 249760 285440 399616 499520 999040 1998080 111123889 222247778 444495556 555619445 777867223 888991112 1111238890 1555734446 1777982224 2222477780 3111468892 3555964448 3889336115 4444955560 6222937784 7111928896 7778672230 8889911120 12445875568 14223857792 15557344460 17779822240 24780627247 24891751136 28447715584 31114688920 35559644480 49561254494 49783502272 62229377840 71119288960 99122508988 99567004544 123903136235 124458755680 142238577920 173464390729 198245017976 199134009088 247806272470 248917511360 346928781458 396490035952 495612544940 497835022720 693857562916 792980071904 867321953645 991225089880 995670045440 1387715125832 1585960143808 1734643907290 1982450179760 2775430251664 3171920287616 3469287814580 3964900359520 5550860503328 6343840575232 6938575629160 7929800719040 11101721006656 13877151258320 15859601438080 22203442013312 27754302516640 31719202876160 44406884026624 55508605033280 111017210066560 222034420133120