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228969788292 = 2232717283188861
BaseRepresentation
bin1101010100111110101…
…0011011001110000100
3210220000022001102002100
43111033222123032010
512222412231211132
6253104241112100
722354041042120
oct3251752331604
9726008042070
10228969788292
11891185269a3
1238461628630
131879012993b
14b121796580
155e5190037c
hex354fa9b384

228969788292 has 144 divisors (see below), whose sum is σ = 702856732032. Its totient is φ = 61353815040.

The previous prime is 228969788239. The next prime is 228969788323. The reversal of 228969788292 is 292887969822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 228969788292.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117942 + ... + 1306802.

It is an arithmetic number, because the mean of its divisors is an integer number (4880949528).

Almost surely, 2228969788292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228969788292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351428366016).

228969788292 is an abundant number, since it is smaller than the sum of its proper divisors (473886943740).

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

228969788292 is a wasteful number, since it uses less digits than its factorization.

228969788292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189178 (or 189173 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 228969788292 in words is "two hundred twenty-eight billion, nine hundred sixty-nine million, seven hundred eighty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 283 306 357 476 566 612 714 849 1071 1132 1428 1698 1981 2142 2547 3396 3962 4284 4811 5094 5943 7924 9622 10188 11886 14433 17829 19244 23772 28866 33677 35658 43299 57732 67354 71316 86598 101031 134708 173196 188861 202062 303093 377722 404124 566583 606186 755444 1133166 1212372 1322027 1699749 2266332 2644054 3210637 3399498 3966081 5288108 6421274 6798996 7932162 9631911 11898243 12842548 15864324 19263822 22474459 23796486 28895733 38527644 44948918 47592972 53447663 57791466 67423377 89897836 106895326 115582932 134846754 160342989 202270131 213790652 269693508 320685978 374133641 404540262 481028967 641371956 748267282 809080524 908610271 962057934 1122400923 1496534564 1817220542 1924115868 2244801846 2725830813 3367202769 3634441084 4489603692 5451661626 6360271897 6734405538 8177492439 10903323252 12720543794 13468811076 16354984878 19080815691 25441087588 32709969756 38161631382 57242447073 76323262764 114484894146 228969788292