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230670242460 = 223257317577513
BaseRepresentation
bin1101011011010100000…
…1001001001010011100
3211001101210202102200100
43112311001021022130
512234403040224320
6253545103501100
722444136465340
oct3266501111234
9731353672610
10230670242460
118991037a319
1238856bb7790
13189a1504b38
14b243559620
156000d43790
hex35b504929c

230670242460 has 144 divisors (see below), whose sum is σ = 802180806336. Its totient is φ = 52558212096.

The previous prime is 230670242459. The next prime is 230670242461. The reversal of 230670242460 is 64242076032.

230670242460 is a `hidden beast` number, since 2 + 306 + 70 + 242 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230670242459) and next prime (230670242461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230670242461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110664 + ... + 688176.

It is an arithmetic number, because the mean of its divisors is an integer number (5570700044).

Almost surely, 2230670242460 is an apocalyptic number.

230670242460 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 230670242460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401090403168).

230670242460 is an abundant number, since it is smaller than the sum of its proper divisors (571510563876).

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

230670242460 is a wasteful number, since it uses less digits than its factorization.

230670242460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577852 (or 577847 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 230670242460 in words is "two hundred thirty billion, six hundred seventy million, two hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 317 420 630 634 951 1260 1268 1585 1902 2219 2853 3170 3804 4438 4755 5706 6340 6657 8876 9510 11095 11412 13314 14265 19020 19971 22190 26628 28530 33285 39942 44380 57060 66570 79884 99855 133140 199710 399420 577513 1155026 1732539 2310052 2887565 3465078 4042591 5197617 5775130 6930156 8085182 8662695 10395234 11550260 12127773 16170364 17325390 20212955 20790468 24255546 25988085 34650780 36383319 40425910 48511092 51976170 60638865 72766638 80851820 103952340 121277730 145533276 181916595 183071621 242555460 363833190 366143242 549214863 727666380 732286484 915358105 1098429726 1281501347 1647644589 1830716210 2196859452 2563002694 2746074315 3295289178 3661432420 3844504041 5126005388 5492148630 6407506735 6590578356 7689008082 8238222945 10984297260 11533512123 12815013470 15378016164 16476445890 19222520205 23067024246 25630026940 32952891780 38445040410 46134048492 57667560615 76890080820 115335121230 230670242460