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228300905888514 = 23383383132995519
BaseRepresentation
bin110011111010001101110010…
…011001011011101100000010
31002221100100112122222220021000
4303322031302121123230002
5214410440223401413024
62125315553245112430
766042124163243604
oct6372156231335402
91087310478886230
10228300905888514
116681a963644308
12217322b3558716
139a508b5871374
144053b73ab3174
151b5d96cd3acc9
hexcfa37265bb02

228300905888514 has 64 divisors (see below), whose sum is σ = 514788419174400. Its totient is φ = 74987128904976.

The previous prime is 228300905888501. The next prime is 228300905888519. The reversal of 228300905888514 is 415888509003822.

228300905888514 is a `hidden beast` number, since 2 + 2 + 8 + 30 + 0 + 9 + 0 + 5 + 8 + 88 + 514 = 666.

It is a super-2 number, since 2×2283009058885142 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (228300905888519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64781154 + ... + 68214365.

It is an arithmetic number, because the mean of its divisors is an integer number (8043569049600).

Almost surely, 2228300905888514 is an apocalyptic number.

228300905888514 is an abundant number, since it is smaller than the sum of its proper divisors (286487513285886).

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

228300905888514 is a wasteful number, since it uses less digits than its factorization.

228300905888514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132995996 (or 132995990 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 228300905888514 in words is "two hundred twenty-eight trillion, three hundred billion, nine hundred five million, eight hundred eighty-eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 383 498 747 766 1149 1494 2241 2298 3447 4482 6894 10341 20682 31789 63578 95367 190734 286101 572202 858303 1716606 132995519 265991038 398986557 797973114 1196959671 2393919342 3590879013 7181758026 11038628077 22077256154 33115884231 50937283777 66231768462 99347652693 101874567554 152811851331 198695305386 298042958079 305623702662 458435553993 596085916158 916871107986 1375306661979 2750613323958 4227794553491 8455589106982 12683383660473 25366767320946 38050150981419 76100301962838 114150452944257 228300905888514