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230309460 = 223353711527
BaseRepresentation
bin11011011101000…
…11111001010100
3121001100221012000
431232203321110
5432424400320
634504155300
75464412103
oct1556437124
9531327160
10230309460
111090049a7
1265168b30
133893a0b4
142283203a
1515344c90
hexdba3e54

230309460 has 96 divisors (see below), whose sum is σ = 735947520. Its totient is φ = 59750784.

The previous prime is 230309459. The next prime is 230309477. The reversal of 230309460 is 64903032.

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 31 ways as a sum of consecutive naturals, for example, 14217 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (7666120).

Almost surely, 2230309460 is an apocalyptic number.

230309460 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 230309460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367973760).

230309460 is an abundant number, since it is smaller than the sum of its proper divisors (505638060).

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

230309460 is a wasteful number, since it uses less digits than its factorization.

230309460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230309460 is about 15175.9500526326. The cubic root of 230309460 is about 612.9672325511.

The spelling of 230309460 in words is "two hundred thirty million, three hundred nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 11527 19980 23054 34581 46108 57635 69162 103743 115270 138324 172905 207486 230540 311229 345810 414972 426499 518715 622458 691620 852998 1037430 1244916 1279497 1556145 1705996 2074860 2132495 2558994 3112290 3838491 4264990 5117988 6224580 6397485 7676982 8529980 11515473 12794970 15353964 19192455 23030946 25589940 38384910 46061892 57577365 76769820 115154730 230309460