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230113845 = 335131967103
BaseRepresentation
bin11011011011101…
…00001000110101
3121000222222212000
431231310020311
5432402120340
634500045513
75462635563
oct1555641065
9530888760
10230113845
11108990a35
1265093899
133889c050
14227c0a33
1515306d30
hexdb74235

230113845 has 128 divisors (see below), whose sum is σ = 475238400. Its totient is φ = 104696064.

The previous prime is 230113823. The next prime is 230113859. The reversal of 230113845 is 548311032.

It is a happy number.

It is not a de Polignac number, because 230113845 - 25 = 230113813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2234064 + ... + 2234166.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2230113845 is an apocalyptic number.

It is an amenable number.

230113845 is an abundant number, since it is smaller than the sum of its proper divisors (245124555).

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

230113845 is a wasteful number, since it uses less digits than its factorization.

230113845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 230113845 is about 15169.5037822600. The cubic root of 230113845 is about 612.7936406822.

Adding to 230113845 its reverse (548311032), we get a palindrome (778424877).

The spelling of 230113845 in words is "two hundred thirty million, one hundred thirteen thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 67 95 103 117 135 171 195 201 247 285 309 335 351 513 515 585 603 741 855 871 927 1005 1235 1273 1339 1545 1755 1809 1957 2223 2565 2613 2781 3015 3705 3819 4017 4355 4635 5871 6365 6669 6695 6901 7839 9045 9785 11115 11457 12051 13065 13905 16549 17613 19095 20085 20703 23517 25441 29355 33345 34371 34505 36153 39195 49647 52839 57285 60255 62109 76323 82745 88065 89713 103515 117585 127205 131119 148941 171855 180765 186327 228969 248235 264195 269139 310545 381615 393357 446823 448565 655595 686907 744705 807417 931635 1144845 1180071 1345695 1704547 1966785 2234115 2422251 3434535 3540213 4037085 5113641 5900355 8522735 12111255 15340923 17701065 25568205 46022769 76704615 230113845