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229156376072 = 231324722772
BaseRepresentation
bin1101010101101011001…
…0001100111000001000
3210220111022011001101212
43111122302030320020
512223303013013242
6253134544232252
722361465025611
oct3253262147010
9726438131355
10229156376072
1189203889078
12384b400b688
13187bc999200
14b13c486c08
155e62eaa782
hex355ac8ce08

229156376072 has 108 divisors (see below), whose sum is σ = 477094173255. Its totient is φ = 103140475776.

The previous prime is 229156376069. The next prime is 229156376089. The reversal of 229156376072 is 270673651922.

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 5 ways, for example, as 322346116 + 228834029956 = 17954^2 + 478366^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338494.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229156376072.

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 26 ways as a sum of consecutive naturals, for example, 827279198 + ... + 827279474.

Almost surely, 2229156376072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229156376072

229156376072 is an abundant number, since it is smaller than the sum of its proper divisors (247937797183).

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

229156376072 is an equidigital number, since it uses as much as digits as its factorization.

229156376072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

Multiplying 229156376072 by its sum of digits (50), we get a square (11457818803600 = 33849402).

The spelling of 229156376072 in words is "two hundred twenty-nine billion, one hundred fifty-six million, three hundred seventy-six thousand, seventy-two".

Divisors: 1 2 4 8 13 26 47 52 94 104 169 188 277 338 376 554 611 676 1108 1222 1352 2209 2216 2444 3601 4418 4888 7202 7943 8836 13019 14404 15886 17672 26038 28717 28808 31772 46813 52076 57434 63544 76729 93626 104152 114868 153458 169247 187252 229736 306916 338494 373321 374504 611893 613832 676988 746642 997477 1223786 1353976 1493284 1994954 2200211 2447572 2986568 3606263 3989908 4400422 4895144 7212526 7954609 7979816 8800844 12967201 14425052 15909218 17601688 25934402 28850104 31818436 46881419 51868804 63636872 93762838 103409917 103737608 169494361 187525676 206819834 338988722 375051352 413639668 609458447 677977444 827279336 1218916894 1355954888 2203426693 2437833788 4406853386 4875667576 8813706772 17627413544 28644547009 57289094018 114578188036 229156376072