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230112080 = 245111092399
BaseRepresentation
bin11011011011100…
…11101101010000
3121000222220102122
431231303231100
5432402041310
634500033412
75462630462
oct1555635520
9530886378
10230112080
1110898a680
1265092868
133889b2c3
14227c0132
1515306555
hexdb73b50

230112080 has 80 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 82874880.

The previous prime is 230112073. The next prime is 230112089. The reversal of 230112080 is 80211032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230112089) 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, 94721 + ... + 97119.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2230112080 is an apocalyptic number.

230112080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

230112080 is an abundant number, since it is smaller than the sum of its proper divisors (359135920).

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

230112080 is a wasteful number, since it uses less digits than its factorization.

230112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 230112080 is about 15169.4456062178. The cubic root of 230112080 is about 612.7920739453.

The spelling of 230112080 in words is "two hundred thirty million, one hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 2399 4360 4796 4798 5995 8720 9592 9596 11990 11995 19184 19192 23980 23990 26389 38384 47960 47980 52778 95920 95960 105556 131945 191920 211112 261491 263890 422224 522982 527780 1045964 1055560 1307455 2091928 2111120 2614910 2876401 4183856 5229820 5752802 10459640 11505604 14382005 20919280 23011208 28764010 46022416 57528020 115056040 230112080