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228583765680 = 24351376952061
BaseRepresentation
bin1101010011100010100…
…1110111011010110000
3210212000101200102121120
43110320221313122300
512221114421000210
6253002051222240
722341342643554
oct3247051673260
9725011612546
10228583765680
1188a3a638446
12383742a7980
131872b1703aa
14b0c63cd864
155e2ca9d270
hex3538a776b0

228583765680 has 80 divisors (see below), whose sum is σ = 713782109664. Its totient is φ = 60510730240.

The previous prime is 228583765651. The next prime is 228583765687. The reversal of 228583765680 is 86567385822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (228583765687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3443151 + ... + 3508910.

Almost surely, 2228583765680 is an apocalyptic number.

228583765680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228583765680 is an abundant number, since it is smaller than the sum of its proper divisors (485198343984).

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

228583765680 is a wasteful number, since it uses less digits than its factorization.

228583765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952214 (or 6952208 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 228583765680 in words is "two hundred twenty-eight billion, five hundred eighty-three million, seven hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880 6952061 13904122 20856183 27808244 34760305 41712366 55616488 69520610 83424732 104280915 111232976 139041220 166849464 208561830 278082440 333698928 417123660 556164880 834247320 952432357 1668494640 1904864714 2857297071 3809729428 4762161785 5714594142 7619458856 9524323570 11429188284 14286485355 15238917712 19048647140 22858376568 28572970710 38097294280 45716753136 57145941420 76194588560 114291882840 228583765680