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230456460 = 223513359823
BaseRepresentation
bin11011011110001…
…11110010001100
3121001122101211110
431233013302030
5432444101320
634511252020
75465563503
oct1557076214
9531571743
10230456460
111090a5393
126521a010
133898bc90
142286d83a
15153735e0
hexdbc7c8c

230456460 has 96 divisors (see below), whose sum is σ = 697697280. Its totient is φ = 56500992.

The previous prime is 230456459. The next prime is 230456477. The reversal of 230456460 is 64654032.

It is a super-2 number, since 2×2304564602 = 106220359911463200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 279609 + ... + 280431.

It is an arithmetic number, because the mean of its divisors is an integer number (7267680).

Almost surely, 2230456460 is an apocalyptic number.

230456460 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 230456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348848640).

230456460 is an abundant number, since it is smaller than the sum of its proper divisors (467240820).

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

230456460 is a wasteful number, since it uses less digits than its factorization.

230456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 230456460 is about 15180.7924694332. The cubic root of 230456460 is about 613.0976180177.

The spelling of 230456460 in words is "two hundred thirty million, four hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 359 390 718 780 823 1077 1436 1646 1795 2154 2469 3292 3590 4115 4308 4667 4938 5385 7180 8230 9334 9876 10699 10770 12345 14001 16460 18668 21398 21540 23335 24690 28002 32097 42796 46670 49380 53495 56004 64194 70005 93340 106990 128388 140010 160485 213980 280020 295457 320970 590914 641940 886371 1181828 1477285 1772742 2954570 3545484 3840941 4431855 5909140 7681882 8863710 11522823 15363764 17727420 19204705 23045646 38409410 46091292 57614115 76818820 115228230 230456460