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228300905888523 = 321311321317235563
BaseRepresentation
bin110011111010001101110010…
…011001011011101100001011
31002221100100112122222220021100
4303322031302121123230023
5214410440223401413043
62125315553245112443
766042124163243616
oct6372156231335413
91087310478886240
10228300905888523
116681a963644316
12217322b3558723
139a508b5871380
144053b73ab317d
151b5d96cd3acd3
hexcfa37265bb0b

228300905888523 has 24 divisors (see below), whose sum is σ = 355137899970672. Its totient is φ = 140491616050368.

The previous prime is 228300905888519. The next prime is 228300905888557. The reversal of 228300905888523 is 325888509003822.

228300905888523 is a `hidden beast` number, since 2 + 28 + 3 + 0 + 0 + 9 + 0 + 5 + 8 + 88 + 523 = 666.

It is not a de Polignac number, because 228300905888523 - 22 = 228300905888519 is a prime.

It is a super-2 number, since 2×2283009058885232 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228300905818523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4628140 + ... + 21863702.

It is an arithmetic number, because the mean of its divisors is an integer number (14797412498778).

Almost surely, 2228300905888523 is an apocalyptic number.

228300905888523 is a deficient number, since it is larger than the sum of its proper divisors (126836994082149).

228300905888523 is a wasteful number, since it uses less digits than its factorization.

228300905888523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348795 (or 17348792 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 228300905888523 in words is "two hundred twenty-eight trillion, three hundred billion, nine hundred five million, eight hundred eighty-eight thousand, five hundred twenty-three".

Divisors: 1 3 9 13 39 117 113213 339639 1018917 1471769 4415307 13245921 17235563 51706689 155120067 224062319 672186957 2016560871 1951289793919 5853869381757 17561608145271 25366767320947 76100301962841 228300905888523