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226329499081 = 76192732
BaseRepresentation
bin1101001011001001001…
…0100001010111001001
3210122012021212211012001
43102302102201113021
512202010322432311
6251550242351001
722231441000000
oct3226222412711
9718167784161
10226329499081
1187a931135a4
1237a4535b461
131845c11b62a
14ad50c67c37
155d49c124c1
hex34b24a15c9

226329499081 has 63 divisors (see below), whose sum is σ = 282549436551. Its totient is φ = 181268738784.

The previous prime is 226329499063. The next prime is 226329499087. The reversal of 226329499081 is 180994923622.

The square root of 226329499081 is 475741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128475649225 + 97853849856 = 358435^2 + 312816^2 .

It is not a de Polignac number, because 226329499081 - 25 = 226329499049 is a prime.

It is a super-2 number, since 2×2263294990812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226329499087) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 3100404061 + ... + 3100404133.

Almost surely, 2226329499081 is an apocalyptic number.

226329499081 is the 475741-st square number.

226329499081 is the 237871-st centered octagonal number.

It is an amenable number.

226329499081 is a deficient number, since it is larger than the sum of its proper divisors (56219937470).

226329499081 is an frugal number, since it uses more digits than its factorization.

226329499081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

It can be divided in two parts, 226329 and 499081, that added together give a triangular number (725410 = T1204).

The spelling of 226329499081 in words is "two hundred twenty-six billion, three hundred twenty-nine million, four hundred ninety-nine thousand, eighty-one".

Divisors: 1 7 19 49 73 133 343 361 511 931 1387 2401 2527 3577 5329 6517 9709 16807 17689 25039 26353 37303 45619 67963 101251 117649 123823 175273 184471 261121 319333 475741 708757 866761 1226911 1291297 1827847 1923769 2235331 3330187 4961299 6067327 8588377 9039079 12794929 13466383 23311309 34729093 42471289 63273553 89564503 94264681 163179163 243103651 442914871 626951521 659852767 1701725557 3100404097 4618969369 11912078899 32332785583 226329499081