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228067128820 = 2251710910395923
BaseRepresentation
bin1101010001100111011…
…1000011010111110100
3210210200101112120002001
43110121313003113310
512214040141110240
6252434514025044
722322500415626
oct3243167032764
9723611476061
10228067128820
11887a4a48533
123824b278184
13186781118cb
14b077946c16
155dec54a89a
hex3519dc35f4

228067128820 has 96 divisors (see below), whose sum is σ = 512345433600. Its totient is φ = 84976625664.

The previous prime is 228067128781. The next prime is 228067128823. The reversal of 228067128820 is 28821760822.

It is a super-3 number, since 3×2280671288203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228067128823) 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, 38502379 + ... + 38508301.

It is an arithmetic number, because the mean of its divisors is an integer number (5336931600).

Almost surely, 2228067128820 is an apocalyptic number.

228067128820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228067128820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256172716800).

228067128820 is an abundant number, since it is smaller than the sum of its proper divisors (284278304780).

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

228067128820 is a wasteful number, since it uses less digits than its factorization.

228067128820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 228067128820 in words is "two hundred twenty-eight billion, sixty-seven million, one hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1039 1090 1853 2078 2180 3706 4156 5195 5923 7412 9265 10390 11846 17663 18530 20780 23692 29615 35326 37060 59230 70652 88315 100691 113251 118460 176630 201382 226502 353260 402764 453004 503455 566255 645607 1006910 1132510 1291214 1925267 2013820 2265020 2582428 3228035 3850534 6153997 6456070 7701068 9626335 10975319 12307994 12912140 19252670 21950638 24615988 30769985 38505340 43901276 54876595 61539970 104617949 109753190 123079940 209235898 219506380 418471796 523089745 670785673 1046179490 1341571346 2092358980 2683142692 3353928365 6707856730 11403356441 13415713460 22806712882 45613425764 57016782205 114033564410 228067128820