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2242462046240 = 255133034135533
BaseRepresentation
bin100000101000011101001…
…001110101100000100000
321221101012000221222110202
4200220131021311200200
5243220030240434430
64434101200044332
7321004204615163
oct40503511654040
97841160858422
102242462046240
11795028400889
123027300036a8
13133603a36ba0
147a77010dada
153d4e9168d45
hex20a1d275820

2242462046240 has 96 divisors (see below), whose sum is σ = 5705689547376. Its totient is φ = 827935395840.

The previous prime is 2242462046239. The next prime is 2242462046249. The reversal of 2242462046240 is 426402642422.

It can be written as a sum of positive squares in 8 ways, for example, as 5893939984 + 2236568106256 = 76772^2 + 1495516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242462046194 and 2242462046203.

It is not an unprimeable number, because it can be changed into a prime (2242462046249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63091514 + ... + 63127046.

Almost surely, 22242462046240 is an apocalyptic number.

2242462046240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242462046240 is an abundant number, since it is smaller than the sum of its proper divisors (3463227501136).

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

2242462046240 is a wasteful number, since it uses less digits than its factorization.

2242462046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65902 (or 65894 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 2242462046240 its reverse (426402642422), we get a palindrome (2668864688662).

The spelling of 2242462046240 in words is "two trillion, two hundred forty-two billion, four hundred sixty-two million, forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 30341 35533 60682 71066 121364 142132 151705 177665 242728 284264 303410 355330 394433 461929 485456 568528 606820 710660 788866 923858 970912 1137056 1213640 1421320 1577732 1847716 1972165 2309645 2427280 2842640 3155464 3695432 3944330 4619290 4854560 5685280 6310928 7390864 7888660 9238580 12621856 14781728 15777320 18477160 31554640 36954320 63109280 73908640 1078106753 2156213506 4312427012 5390533765 8624854024 10781067530 14015387789 17249708048 21562135060 28030775578 34499416096 43124270120 56061551156 70076938945 86248540240 112123102312 140153877890 172497080480 224246204624 280307755780 448492409248 560615511560 1121231023120 2242462046240