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226916981792 = 2510727872
BaseRepresentation
bin1101001101010101001…
…1100101110000100000
3210200201020100000221222
43103111103211300200
512204211221404132
6252124430234212
722252133343404
oct3232523456040
9720636300858
10226916981792
11882647a1aa6
1237b8a055968
1318523a53937
14ada8cb3104
155d815ab412
hex34d54e5c20

226916981792 has 54 divisors (see below), whose sum is σ = 451530730287. Its totient is φ = 112255312704.

The previous prime is 226916981789. The next prime is 226916981803. The reversal of 226916981792 is 297189619622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 113458490896 + 113458490896 = 336836^2 + 336836^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336836.

It is a Duffinian number.

Its product of digits (11757312) is a multiple of the sum of its prime divisors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 288331223 + ... + 288332009.

Almost surely, 2226916981792 is an apocalyptic number.

It is an amenable number.

226916981792 is a deficient number, since it is larger than the sum of its proper divisors (224613748495).

226916981792 is an frugal number, since it uses more digits than its factorization.

226916981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 896 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 62.

The spelling of 226916981792 in words is "two hundred twenty-six billion, nine hundred sixteen million, nine hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 107 214 428 787 856 1574 1712 3148 3424 6296 11449 12592 22898 25184 45796 84209 91592 168418 183184 336836 366368 619369 673672 1238738 1347344 2477476 2694688 4954952 9010363 9909904 18020726 19819808 36041452 66272483 72082904 132544966 144165808 265089932 288331616 530179864 1060359728 2120719456 7091155681 14182311362 28364622724 56729245448 113458490896 226916981792