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230711144976 = 243213230792
BaseRepresentation
bin1101011011011101110…
…1001011001000010000
3211001111122201111101100
43112313131023020100
512234444023114401
6253553124304400
722445144242554
oct3266735131020
9731448644340
10230711144976
1189931476a54
1238868842100
13189a9b26400
14b248b65864
156004722b86
hex35b774b210

230711144976 has 135 divisors (see below), whose sum is σ = 699385440429. Its totient is φ = 70964989056.

The previous prime is 230711144971. The next prime is 230711144999. The reversal of 230711144976 is 679441117032.

It is a happy number.

The square root of 230711144976 is 480324.

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

230711144976 is a `hidden beast` number, since 23 + 0 + 7 + 111 + 449 + 76 = 666.

230711144976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34128867600 + 196582277376 = 184740^2 + 443376^2 .

It is a super-2 number, since 2×2307111449762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230711144971) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 74929005 + ... + 74932083.

Almost surely, 2230711144976 is an apocalyptic number.

230711144976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

230711144976 is the 480324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230711144976

230711144976 is an abundant number, since it is smaller than the sum of its proper divisors (468674295453).

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

230711144976 is an equidigital number, since it uses as much as digits as its factorization.

230711144976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 230711144976 in words is "two hundred thirty billion, seven hundred eleven million, one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 3079 4056 6084 6158 8112 9237 12168 12316 18474 24336 24632 27711 36948 40027 49264 55422 73896 80054 110844 120081 147792 160108 221688 240162 320216 360243 443376 480324 520351 640432 720486 960648 1040702 1440972 1561053 1921296 2081404 2881944 3122106 4162808 4683159 5763888 6244212 8325616 9366318 9480241 12488424 18732636 18960482 24976848 28440723 37465272 37920964 56881446 74930544 75841928 85322169 113762892 123243133 151683856 170644338 227525784 246486266 341288676 369729399 455051568 492972532 682577352 739458798 985945064 1109188197 1365154704 1478917596 1602160729 1971890128 2218376394 2957835192 3204321458 4436752788 4806482187 5915670384 6408642916 8873505576 9612964374 12817285832 14419446561 17747011152 19225928748 25634571664 28838893122 38451857496 57677786244 76903714992 115355572488 230711144976