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230612160 = 26352291049
BaseRepresentation
bin11011011111011…
…01110011000000
3121001221022102010
431233231303000
5433014042120
634514452520
75500112442
oct1557556300
9531838363
10230612160
111091a1369
1265294140
1338a14acc
14228b0492
15153a47e0
hexdbedcc0

230612160 has 112 divisors (see below), whose sum is σ = 736092000. Its totient is φ = 61169664.

The previous prime is 230612149. The next prime is 230612171. The reversal of 230612160 is 61216032.

It is a happy number.

230612160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230612149) and next prime (230612171).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219316 + ... + 220364.

It is an arithmetic number, because the mean of its divisors is an integer number (6572250).

Almost surely, 2230612160 is an apocalyptic number.

230612160 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 230612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368046000).

230612160 is an abundant number, since it is smaller than the sum of its proper divisors (505479840).

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

230612160 is a wasteful number, since it uses less digits than its factorization.

230612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 230612160 is about 15185.9197943358. The cubic root of 230612160 is about 613.2356597246.

Adding to 230612160 its reverse (61216032), we get a palindrome (291828192).

The spelling of 230612160 in words is "two hundred thirty million, six hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 229 240 320 458 480 687 916 960 1049 1145 1374 1832 2098 2290 2748 3147 3435 3664 4196 4580 5245 5496 6294 6870 7328 8392 9160 10490 10992 12588 13740 14656 15735 16784 18320 20980 21984 25176 27480 31470 33568 36640 41960 43968 50352 54960 62940 67136 73280 83920 100704 109920 125880 167840 201408 219840 240221 251760 335680 480442 503520 720663 960884 1007040 1201105 1441326 1921768 2402210 2882652 3603315 3843536 4804420 5765304 7206630 7687072 9608840 11530608 14413260 15374144 19217680 23061216 28826520 38435360 46122432 57653040 76870720 115306080 230612160