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230013540 = 223351932207
BaseRepresentation
bin11011011010110…
…11101001100100
3121000210220021000
431231123221210
5432340413130
634453553300
75462040261
oct1555335144
9530726230
10230013540
11108922639
1265045830
13388654b3
1422796268
15152d7260
hexdb5ba64

230013540 has 96 divisors (see below), whose sum is σ = 719631360. Its totient is φ = 60991488.

The previous prime is 230013499. The next prime is 230013557. The reversal of 230013540 is 45310032.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 103117 + ... + 105323.

It is an arithmetic number, because the mean of its divisors is an integer number (7496160).

Almost surely, 2230013540 is an apocalyptic number.

230013540 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 230013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359815680).

230013540 is an abundant number, since it is smaller than the sum of its proper divisors (489617820).

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

230013540 is a wasteful number, since it uses less digits than its factorization.

230013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230013540 is about 15166.1972821139. The cubic root of 230013540 is about 612.7045902686.

Adding to 230013540 its reverse (45310032), we get a palindrome (275323572).

The spelling of 230013540 in words is "two hundred thirty million, thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1737 1930 2207 2316 2895 3474 3860 4414 5211 5790 6621 6948 8685 8828 10422 11035 11580 13242 17370 19863 20844 22070 26055 26484 33105 34740 39726 44140 52110 59589 66210 79452 99315 104220 119178 132420 198630 238356 297945 397260 425951 595890 851902 1191780 1277853 1703804 2129755 2555706 3833559 4259510 5111412 6389265 7667118 8519020 11500677 12778530 15334236 19167795 23001354 25557060 38335590 46002708 57503385 76671180 115006770 230013540