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230777316 = 223371127751
BaseRepresentation
bin11011100000101…
…10000111100100
3121002020200222000
431300112013210
5433034333231
634522205300
75501401110
oct1560260744
9532220860
10230777316
111092a4460
1265353830
1338a72033
1422914740
15153d86e6
hexdc161e4

230777316 has 96 divisors (see below), whose sum is σ = 745973760. Its totient is φ = 59940000.

The previous prime is 230777311. The next prime is 230777321. The reversal of 230777316 is 613777032.

It is an interprime number because it is at equal distance from previous prime (230777311) and next prime (230777321).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (230777311) by changing a digit.

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, 5560 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (7770560).

Almost surely, 2230777316 is an apocalyptic number.

It is an amenable number.

230777316 is an abundant number, since it is smaller than the sum of its proper divisors (515196444).

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

230777316 is a wasteful number, since it uses less digits than its factorization.

230777316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27782 (or 27774 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 230777316 is about 15191.3566214476. The cubic root of 230777316 is about 613.3820171133.

The spelling of 230777316 in words is "two hundred thirty million, seven hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 27751 55502 83253 111004 166506 194257 249759 305261 333012 388514 499518 582771 610522 749277 777028 915783 999036 1165542 1221044 1498554 1748313 1831566 2136827 2331084 2747349 2997108 3496626 3663132 4273654 5244939 5494698 6410481 6993252 8242047 8547308 10489878 10989396 12820962 16484094 19231443 20979756 25641924 32968188 38462886 57694329 76925772 115388658 230777316