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230458980 = 2235191131789
BaseRepresentation
bin11011011110010…
…00011001100100
3121001122112021210
431233020121210
5432444141410
634511311420
75465604033
oct1557103144
9531575253
10230458980
111090a7274
126521b570
133899017b
142287071a
1515374220
hexdbc8664

230458980 has 96 divisors (see below), whose sum is σ = 685641600. Its totient is φ = 57673728.

The previous prime is 230458979. The next prime is 230459041. The reversal of 230458980 is 89854032.

It is a happy number.

230458980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304589802 = 106222682925280800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127926 + ... + 129714.

It is an arithmetic number, because the mean of its divisors is an integer number (7142100).

Almost surely, 2230458980 is an apocalyptic number.

230458980 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 230458980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342820800).

230458980 is an abundant number, since it is smaller than the sum of its proper divisors (455182620).

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

230458980 is a wasteful number, since it uses less digits than its factorization.

230458980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 230458980 is about 15180.8754688259. The cubic root of 230458980 is about 613.0998527137.

The spelling of 230458980 in words is "two hundred thirty million, four hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 113 114 190 226 228 285 339 380 452 565 570 678 1130 1140 1356 1695 1789 2147 2260 3390 3578 4294 5367 6441 6780 7156 8588 8945 10734 10735 12882 17890 21468 21470 25764 26835 32205 33991 35780 42940 53670 64410 67982 101973 107340 128820 135964 169955 202157 203946 339910 404314 407892 509865 606471 679820 808628 1010785 1019730 1212942 2021570 2039460 2425884 3032355 3840983 4043140 6064710 7681966 11522949 12129420 15363932 19204915 23045898 38409830 46091796 57614745 76819660 115229490 230458980