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228262414986 = 23510735912227
BaseRepresentation
bin1101010010010110000…
…0000000101010001010
3210211012000000010100000
43110211200000222022
512214440134234421
6252510131423430
722330361341224
oct3244540005212
9724160003300
10228262414986
1188895200961
12382a4754b76
13186a9708458
14b09585d414
155e0e773226
hex3525800a8a

228262414986 has 96 divisors (see below), whose sum is σ = 519163706880. Its totient is φ = 75160264176.

The previous prime is 228262414937. The next prime is 228262414999. The reversal of 228262414986 is 689414262822.

228262414986 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 624 + 1 + 4 + 9 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18662605 + ... + 18674831.

It is an arithmetic number, because the mean of its divisors is an integer number (5407955280).

Almost surely, 2228262414986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228262414986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259581853440).

228262414986 is an abundant number, since it is smaller than the sum of its proper divisors (290901291894).

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

228262414986 is a wasteful number, since it uses less digits than its factorization.

228262414986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12698 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 228262414986 in words is "two hundred twenty-eight billion, two hundred sixty-two million, four hundred fourteen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 359 486 642 718 963 1077 1926 2154 2889 3231 5778 6462 8667 9693 12227 17334 19386 24454 26001 29079 36681 38413 52002 58158 73362 76826 87237 110043 115239 174474 220086 230478 330129 345717 660258 691434 990387 1037151 1308289 1980774 2074302 2616578 2971161 3111453 3924867 4389493 5942322 6222906 7849734 8778986 9334359 11774601 13168479 18668718 23549202 26336958 35323803 39505437 70647606 79010874 105971409 118516311 211942818 237032622 317914227 355548933 469675751 635828454 711097866 939351502 1066646799 1409027253 2133293598 2818054506 4227081759 8454163518 12681245277 25362490554 38043735831 76087471662 114131207493 228262414986