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228650192064 = 2633718902959
BaseRepresentation
bin1101010011110010011…
…1010000110011000000
3210212012000200020111000
43110330213100303000
512221233422121224
6253012423052000
722343110364520
oct3247447206300
9725160606430
10228650192064
1188a74088588
12383925a1000
131873bb5a448
14b0d1161680
155e338200c9
hex353c9d0cc0

228650192064 has 112 divisors (see below), whose sum is σ = 768216294400. Its totient is φ = 65328622848.

The previous prime is 228650192063. The next prime is 228650192093. The reversal of 228650192064 is 460291056822.

228650192064 is a `hidden beast` number, since 2 + 2 + 86 + 501 + 9 + 2 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (228650192063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9439384 + ... + 9463575.

Almost surely, 2228650192064 is an apocalyptic number.

228650192064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228650192064 is an abundant number, since it is smaller than the sum of its proper divisors (539566102336).

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

228650192064 is a wasteful number, since it uses less digits than its factorization.

228650192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902987 (or 18902971 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228650192064 in words is "two hundred twenty-eight billion, six hundred fifty million, one hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 18902959 37805918 56708877 75611836 113417754 132320713 151223672 170126631 226835508 264641426 302447344 340253262 396962139 453671016 510379893 529282852 604894688 680506524 793924278 907342032 1020759786 1058565704 1190886417 1209789376 1361013048 1587848556 1814684064 2041519572 2117131408 2381772834 2722026096 3175697112 3572659251 3629368128 4083039144 4234262816 4763545668 5444052192 6351394224 7145318502 8166078288 8468525632 9527091336 10888104384 12702788448 14290637004 16332156576 19054182672 25405576896 28581274008 32664313152 38108365344 57162548016 76216730688 114325096032 228650192064