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229480016580 = 2232529311418119
BaseRepresentation
bin1101010110111000010…
…0110010101011000100
3210221022212010200201100
43111232010302223010
512224433341012310
6253231025100100
722402504646133
oct3255604625304
9727285120640
10229480016580
118935a539a71
1238584487630
1318841a53479
14b16d45191a
155e815d8ec0
hex356e132ac4

229480016580 has 144 divisors (see below), whose sum is σ = 743321779200. Its totient is φ = 57178517760.

The previous prime is 229480016573. The next prime is 229480016603. The reversal of 229480016580 is 85610084922.

229480016580 is a `hidden beast` number, since 2 + 2 + 9 + 480 + 0 + 165 + 8 + 0 = 666.

It is a super-2 number, since 2×2294800165802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 547240 + ... + 870879.

It is an arithmetic number, because the mean of its divisors is an integer number (5161956800).

Almost surely, 2229480016580 is an apocalyptic number.

229480016580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229480016580 is an abundant number, since it is smaller than the sum of its proper divisors (513841762620).

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

229480016580 is a wasteful number, since it uses less digits than its factorization.

229480016580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418194 (or 1418189 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 229480016580 in words is "two hundred twenty-nine billion, four hundred eighty million, sixteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 348 372 435 465 522 558 580 620 870 899 930 1044 1116 1305 1395 1740 1798 1860 2610 2697 2790 3596 4495 5220 5394 5580 8091 8990 10788 13485 16182 17980 26970 32364 40455 53940 80910 161820 1418119 2836238 4254357 5672476 7090595 8508714 12763071 14181190 17017428 21271785 25526142 28362380 41125451 42543570 43961689 51052284 63815355 82250902 85087140 87923378 123376353 127630710 131885067 164501804 175846756 205627255 219808445 246752706 255261420 263770134 370129059 395655201 411254510 439616890 493505412 527540268 616881765 659425335 740258118 791310402 822509020 879233780 1233763530 1274888981 1318850670 1480516236 1582620804 1850645295 1978276005 2467527060 2549777962 2637701340 3701290590 3824666943 3956552010 5099555924 6374444905 7402581180 7649333886 7913104020 11474000829 12748889810 15298667772 19123334715 22948001658 25497779620 38246669430 45896003316 57370004145 76493338860 114740008290 229480016580