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230714160 = 24354492141
BaseRepresentation
bin11011100000001…
…10101100110000
3121002010111022220
431300012230300
5433030323120
634521001040
75501016015
oct1560065460
9532114286
10230714160
11109260a66
1265323180
1338a4c371
14228d970c
15153c4b40
hexdc06b30

230714160 has 80 divisors (see below), whose sum is σ = 717141600. Its totient is φ = 61358080.

The previous prime is 230714119. The next prime is 230714161. The reversal of 230714160 is 61417032.

230714160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230714160.

It is not an unprimeable number, because it can be changed into a prime (230714161) 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, 106690 + ... + 108830.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2230714160 is an apocalyptic number.

230714160 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 230714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570800).

230714160 is an abundant number, since it is smaller than the sum of its proper divisors (486427440).

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

230714160 is a wasteful number, since it uses less digits than its factorization.

230714160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 230714160 is about 15189.2777971831. The cubic root of 230714160 is about 613.3260579897.

The spelling of 230714160 in words is "two hundred thirty million, seven hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 449 898 1347 1796 2141 2245 2694 3592 4282 4490 5388 6423 6735 7184 8564 8980 10705 10776 12846 13470 17128 17960 21410 21552 25692 26940 32115 34256 35920 42820 51384 53880 64230 85640 102768 107760 128460 171280 256920 513840 961309 1922618 2883927 3845236 4806545 5767854 7690472 9613090 11535708 14419635 15380944 19226180 23071416 28839270 38452360 46142832 57678540 76904720 115357080 230714160