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226539280 = 245111719797
BaseRepresentation
bin11011000000010…
…11011100010000
3120210021101110201
431200023130100
5430443224110
634251304544
75420360242
oct1540133420
9523241421
10226539280
1110696a350
1263a4b154
1337c1a016
1422130092
1514d4cb3a
hexd80b710

226539280 has 160 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 73359360.

The previous prime is 226539253. The next prime is 226539307. The reversal of 226539280 is 82935622.

It is an interprime number because it is at equal distance from previous prime (226539253) and next prime (226539307).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283842 + ... + 284638.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2226539280 is an apocalyptic number.

226539280 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 226539280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

226539280 is an abundant number, since it is smaller than the sum of its proper divisors (414669680).

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

226539280 is a wasteful number, since it uses less digits than its factorization.

226539280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 226539280 is about 15051.2218773095. The cubic root of 226539280 is about 609.6040429553.

The spelling of 226539280 in words is "two hundred twenty-six million, five hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 19 20 22 34 38 40 44 55 68 76 80 85 88 95 110 136 152 170 176 187 190 209 220 272 304 323 340 374 380 418 440 646 680 748 760 797 836 880 935 1045 1292 1360 1496 1520 1594 1615 1672 1870 2090 2584 2992 3188 3230 3344 3553 3740 3985 4180 5168 6376 6460 7106 7480 7970 8360 8767 12752 12920 13549 14212 14960 15143 15940 16720 17534 17765 25840 27098 28424 30286 31880 35068 35530 43835 54196 56848 60572 63760 67745 70136 71060 75715 87670 108392 121144 135490 140272 142120 149039 151430 166573 175340 216784 242288 257431 270980 284240 298078 302860 333146 350680 514862 541960 596156 605720 666292 701360 745195 832865 1029724 1083920 1192312 1211440 1287155 1332584 1490390 1665730 2059448 2384624 2574310 2665168 2831741 2980780 3331460 4118896 5148620 5663482 5961560 6662920 10297240 11326964 11923120 13325840 14158705 20594480 22653928 28317410 45307856 56634820 113269640 226539280