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229360680 = 23335534007
BaseRepresentation
bin11011010101111…
…00010000101000
3120222120201201000
431222330100220
5432204020210
634431555000
75453351013
oct1552742050
9528521630
10229360680
1110851708a
126498ba60
13386972a3
142266637a
1515208ac0
hexdabc428

229360680 has 128 divisors (see below), whose sum is σ = 779155200. Its totient is φ = 59993856.

The previous prime is 229360679. The next prime is 229360717. The reversal of 229360680 is 86063922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55237 + ... + 59243.

It is an arithmetic number, because the mean of its divisors is an integer number (6087150).

Almost surely, 2229360680 is an apocalyptic number.

229360680 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 229360680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389577600).

229360680 is an abundant number, since it is smaller than the sum of its proper divisors (549794520).

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

229360680 is a wasteful number, since it uses less digits than its factorization.

229360680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 229360680 is about 15144.6584642903. The cubic root of 229360680 is about 612.1243499724.

The spelling of 229360680 in words is "two hundred twenty-nine million, three hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4007 4770 5724 6360 7155 8014 9540 11448 12021 14310 16028 19080 20035 24042 28620 32056 36063 40070 48084 57240 60105 72126 80140 96168 108189 120210 144252 160280 180315 212371 216378 240420 288504 360630 424742 432756 480840 540945 637113 721260 849484 865512 1061855 1081890 1274226 1442520 1698968 1911339 2123710 2163780 2548452 3185565 3822678 4247420 4327560 5096904 5734017 6371130 7645356 8494840 9556695 11468034 12742260 15290712 19113390 22936068 25484520 28670085 38226780 45872136 57340170 76453560 114680340 229360680