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226296401482280 = 23519617096884747
BaseRepresentation
bin110011011101000010111100…
…100111111101001000101000
31002200020201120022022111120102
4303131002330213331020220
5214130120012234413110
62121143044235044532
765444242534024043
oct6335027447751050
91080221508274512
10226296401482280
1166117846113448
1221469912ba0748
13993687504ca7c
143dc4b38ccbc5a
151b2674e69e5a5
hexcdd0bc9fd228

226296401482280 has 128 divisors (see below), whose sum is σ = 545519892528000. Its totient is φ = 84229634903040.

The previous prime is 226296401482279. The next prime is 226296401482373. The reversal of 226296401482280 is 82284104692622.

It is a super-2 number, since 2×2262964014822802 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29426867 + ... + 36311613.

It is an arithmetic number, because the mean of its divisors is an integer number (4261874160375).

Almost surely, 2226296401482280 is an apocalyptic number.

226296401482280 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 226296401482280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272759946264000).

226296401482280 is an abundant number, since it is smaller than the sum of its proper divisors (319223491045720).

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

226296401482280 is a wasteful number, since it uses less digits than its factorization.

226296401482280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885547 (or 6885543 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 226296401482280 in words is "two hundred twenty-six trillion, two hundred ninety-six billion, four hundred one million, four hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 709 760 1159 1220 1418 2318 2440 2836 3545 4636 5672 5795 7090 9272 11590 13471 14180 23180 26942 28360 43249 46360 53884 67355 86498 107768 134710 172996 216245 269420 345992 432490 538840 821731 864980 1643462 1729960 3286924 4108655 6573848 6884747 8217310 13769494 16434620 27538988 32869240 34423735 55077976 68847470 130810193 137694940 261620386 275389880 419969567 523240772 654050965 839939134 1046481544 1308101930 1679878268 2099847835 2616203860 3359756536 4199695670 4881285623 5232407720 7979421773 8399391340 9762571246 15958843546 16798782680 19525142492 24406428115 31917687092 39050284984 39897108865 48812856230 63835374184 79794217730 92744426837 97625712460 159588435460 185488853674 195251424920 297758423003 319176870920 370977707348 463722134185 595516846006 741955414696 927444268370 1191033692012 1488792115015 1854888536740 2382067384024 2977584230030 3709777073480 5657410037057 5955168460060 11314820074114 11910336920120 22629640148228 28287050185285 45259280296456 56574100370570 113148200741140 226296401482280