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228194007792168 = 233117823110491019
BaseRepresentation
bin110011111000101010001110…
…110001100011101000101000
31002220222010121202100221202110
4303320222032301203220220
5214402212311443322133
62125154514024002320
766031321145360205
oct6370521661435050
91086863552327673
10228194007792168
1166789598436340
122171563b6003a0
139a437aabb7b12
14404c912860cac
151b5acb3215c63
hexcf8a8ec63a28

228194007792168 has 64 divisors (see below), whose sum is σ = 622426853145600. Its totient is φ = 69140859423680.

The previous prime is 228194007792161. The next prime is 228194007792209. The reversal of 228194007792168 is 861297700491822.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 228194007792099 and 228194007792108.

It is not an unprimeable number, because it can be changed into a prime (228194007792161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53180238 + ... + 57310781.

It is an arithmetic number, because the mean of its divisors is an integer number (9725419580400).

Almost surely, 2228194007792168 is an apocalyptic number.

It is an amenable number.

228194007792168 is an abundant number, since it is smaller than the sum of its proper divisors (394232845353432).

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

228194007792168 is a wasteful number, since it uses less digits than its factorization.

228194007792168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110498862 (or 110498858 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 228194007792168 in words is "two hundred twenty-eight trillion, one hundred ninety-four billion, seven million, seven hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 7823 15646 23469 31292 46938 62584 86053 93876 172106 187752 258159 344212 516318 688424 1032636 2065272 110491019 220982038 331473057 441964076 662946114 883928152 1215401209 1325892228 2430802418 2651784456 3646203627 4861604836 7292407254 9723209672 14584814508 29169629016 864371241637 1728742483274 2593113724911 3457484966548 5186227449822 6914969933096 9508083658007 10372454899644 19016167316014 20744909799288 28524250974021 38032334632028 57048501948042 76064669264056 114097003896084 228194007792168