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230315913856 = 2772928513109
BaseRepresentation
bin1101011001111111100…
…1011111001010000000
3211000111010000200012201
43112133321133022000
512233141333220411
6253450005202544
722432304652340
oct3263771371200
9730433020181
10230315913856
1189749368a66
1238778400454
1318945c94642
14b20c482d20
155eceba23c1
hex359fe5f280

230315913856 has 128 divisors (see below), whose sum is σ = 542826864000. Its totient is φ = 95239065600.

The previous prime is 230315913853. The next prime is 230315913911. The reversal of 230315913856 is 658319513032.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (230315913853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74078830 + ... + 74081938.

It is an arithmetic number, because the mean of its divisors is an integer number (4240834875).

Almost surely, 2230315913856 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 230315913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271413432000).

230315913856 is an abundant number, since it is smaller than the sum of its proper divisors (312510950144).

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

230315913856 is a wasteful number, since it uses less digits than its factorization.

230315913856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 230315913856 in words is "two hundred thirty billion, three hundred fifteen million, nine hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 2851 3109 3248 3712 5702 6218 6496 11404 12436 12992 19957 21763 22808 24872 25984 39914 43526 45616 49744 79828 82679 87052 90161 91232 99488 159656 165358 174104 180322 182464 198976 319312 330716 348208 360644 364928 397952 578753 631127 638624 661432 696416 721288 1157506 1262254 1277248 1322864 1392832 1442576 2315012 2524508 2554496 2645728 2785664 2885152 4630024 5049016 5291456 5770304 8863759 9260048 10098032 10582912 11540608 17727518 18520096 20196064 35455036 37040192 40392128 62046313 70910072 74080384 80784256 124092626 141820144 248185252 257049011 283640288 496370504 514098022 567280576 992741008 1028196044 1134561152 1799343077 1985482016 2056392088 3598686154 3970964032 4112784176 7197372308 7941928064 8225568352 14394744616 16451136704 28789489232 32902273408 57578978464 115157956928 230315913856