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230351080080 = 243511211413527
BaseRepresentation
bin1101011010000111111…
…1101000101010010000
3211000120120012022012110
43112201333220222100
512233224334030310
6253453303025320
722433212605642
oct3264177505220
9730516168173
10230351080080
11897671a7960
123878813b240
1318950357c64
14b212dd8892
155ed2cebd20
hex35a1fe8a90

230351080080 has 160 divisors (see below), whose sum is σ = 782699332608. Its totient is φ = 55577894400.

The previous prime is 230351080033. The next prime is 230351080111. The reversal of 230351080080 is 80080153032.

It is a happy number.

230351080080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350277 + ... + 763803.

Almost surely, 2230351080080 is an apocalyptic number.

230351080080 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 230351080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391349666304).

230351080080 is an abundant number, since it is smaller than the sum of its proper divisors (552348252528).

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

230351080080 is a wasteful number, since it uses less digits than its factorization.

230351080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413765 (or 413759 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 230351080080 in words is "two hundred thirty billion, three hundred fifty-one million, eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 211 220 240 264 330 422 440 528 633 660 844 880 1055 1266 1320 1688 2110 2321 2532 2640 3165 3376 4220 4642 5064 6330 6963 8440 9284 10128 11605 12660 13926 16880 18568 23210 25320 27852 34815 37136 46420 50640 55704 69630 92840 111408 139260 185680 278520 413527 557040 827054 1240581 1654108 2067635 2481162 3308216 4135270 4548797 4962324 6202905 6616432 8270540 9097594 9924648 12405810 13646391 16541080 18195188 19849296 22743985 24811620 27292782 33082160 36390376 45487970 49623240 54585564 68231955 72780752 87254197 90975940 99246480 109171128 136463910 174508394 181951880 218342256 261762591 272927820 349016788 363903760 436270985 523525182 545855640 698033576 872541970 959796167 1047050364 1091711280 1308812955 1396067152 1745083940 1919592334 2094100728 2617625910 2879388501 3490167880 3839184668 4188201456 4798980835 5235251820 5758777002 6980335760 7678369336 9597961670 10470503640 11517554004 14396942505 15356738672 19195923340 20941007280 23035108008 28793885010 38391846680 46070216016 57587770020 76783693360 115175540040 230351080080