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2241225321255 = 3252310919866377
BaseRepresentation
bin100000100111010011011…
…100000110101100100111
321221020222211211211201200
4200213103130012230213
5243210012140240010
64433334340453543
7320631436622034
oct40472334065447
97836884754650
102241225321255
117945532a1018
123024459aa2b3
1313346775475b
147a693b8038b
153d4757c6cc0
hex209d3706b27

2241225321255 has 48 divisors (see below), whose sum is σ = 4090884557760. Its totient is φ = 1132860225024.

The previous prime is 2241225321241. The next prime is 2241225321259. The reversal of 2241225321255 is 5521235221422.

2241225321255 is a `hidden beast` number, since 2 + 2 + 41 + 22 + 532 + 12 + 55 = 666.

It is not a de Polignac number, because 2241225321255 - 26 = 2241225321191 is a prime.

It is a super-4 number, since 4×22412253212554 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241225321259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9820374 + ... + 10046003.

It is an arithmetic number, because the mean of its divisors is an integer number (85226761620).

Almost surely, 22241225321255 is an apocalyptic number.

2241225321255 is a deficient number, since it is larger than the sum of its proper divisors (1849659236505).

2241225321255 is a wasteful number, since it uses less digits than its factorization.

2241225321255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19866520 (or 19866517 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 2241225321255 in words is "two trillion, two hundred forty-one billion, two hundred twenty-five million, three hundred twenty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 23 45 69 109 115 207 327 345 545 981 1035 1635 2507 4905 7521 12535 22563 37605 112815 19866377 59599131 99331885 178797393 297995655 456926671 893986965 1370780013 2165435093 2284633355 4112340039 6496305279 6853900065 10827175465 19488915837 20561700195 32481526395 49805007139 97444579185 149415021417 249025035695 448245064251 747075107085 2241225321255