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2214346236160 = 28510117128297
BaseRepresentation
bin100000001110010001010…
…100100010000100000000
321211200121121002211202111
4200032101110202010000
5242234440114024120
64413131232425104
7315660364310332
oct40162124420400
97750547084674
102214346236160
1178410a7a4603
122b91a40a8194
13130a72b2b386
1479264015452
153c900b7875a
hex20391522100

2214346236160 has 72 divisors (see below), whose sum is σ = 5356566890136. Its totient is φ = 876968755200.

The previous prime is 2214346236143. The next prime is 2214346236187. The reversal of 2214346236160 is 616326434122.

It can be written as a sum of positive squares in 4 ways, for example, as 1192079646976 + 1022266589184 = 1091824^2 + 1011072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8434869 + ... + 8693428.

It is an arithmetic number, because the mean of its divisors is an integer number (74396762363).

Almost surely, 22214346236160 is an apocalyptic number.

2214346236160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214346236160 is an abundant number, since it is smaller than the sum of its proper divisors (3142220653976).

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

2214346236160 is a wasteful number, since it uses less digits than its factorization.

2214346236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128419 (or 17128405 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 2214346236160 in words is "two trillion, two hundred fourteen billion, three hundred forty-six million, two hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 16160 25856 32320 64640 129280 17128297 34256594 68513188 85641485 137026376 171282970 274052752 342565940 548105504 685131880 1096211008 1370263760 1729957997 2192422016 2740527520 3459915994 4384844032 5481055040 6919831988 8649789985 10962110080 13839663976 17299579970 21924220160 27679327952 34599159940 55358655904 69198319880 110717311808 138396639760 221434623616 276793279520 442869247232 553586559040 1107173118080 2214346236160