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230115120 = 24353113083
BaseRepresentation
bin11011011011101…
…00011100110000
3121001000001121020
431231310130300
5432402140440
634500055440
75462642364
oct1555643460
9531001536
10230115120
11108991994
1265094580
133889c7c1
14227c12a4
15153073d0
hexdb74730

230115120 has 80 divisors (see below), whose sum is σ = 715882752. Its totient is φ = 61146880.

The previous prime is 230115113. The next prime is 230115157. The reversal of 230115120 is 21511032.

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

It is a super-2 number, since 2×2301151202 = 105905936905228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230115120.

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, 73099 + ... + 76181.

Almost surely, 2230115120 is an apocalyptic number.

230115120 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 230115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357941376).

230115120 is an abundant number, since it is smaller than the sum of its proper divisors (485767632).

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

230115120 is a wasteful number, since it uses less digits than its factorization.

230115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 230115120 is about 15169.5458073075. The cubic root of 230115120 is about 612.7947724560.

Adding to 230115120 its reverse (21511032), we get a palindrome (251626152).

The spelling of 230115120 in words is "two hundred thirty million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3083 3110 3732 4665 4976 6166 6220 7464 9249 9330 12332 12440 14928 15415 18498 18660 24664 24880 30830 36996 37320 46245 49328 61660 73992 74640 92490 123320 147984 184980 246640 369960 739920 958813 1917626 2876439 3835252 4794065 5752878 7670504 9588130 11505756 14382195 15341008 19176260 23011512 28764390 38352520 46023024 57528780 76705040 115057560 230115120