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230013300 = 2235211471483
BaseRepresentation
bin11011011010110…
…11100101110100
3121000210212221010
431231123211310
5432340411200
634453552220
75462036466
oct1555334564
9530725833
10230013300
11108922440
1265045670
133886535a
1422796136
15152d7150
hexdb5b974

230013300 has 144 divisors (see below), whose sum is σ = 741952512. Its totient is φ = 54537600.

The previous prime is 230013293. The next prime is 230013323. The reversal of 230013300 is 3310032.

It is a happy number.

230013300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2300133002 = 105812236353780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 154359 + ... + 155841.

It is an arithmetic number, because the mean of its divisors is an integer number (5152448).

Almost surely, 2230013300 is an apocalyptic number.

230013300 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 230013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370976256).

230013300 is an abundant number, since it is smaller than the sum of its proper divisors (511939212).

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

230013300 is a wasteful number, since it uses less digits than its factorization.

230013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 230013300 is about 15166.1893697791. The cubic root of 230013300 is about 612.7043771664.

Adding to 230013300 its reverse (3310032), we get a palindrome (233323332).

The spelling of 230013300 in words is "two hundred thirty million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1483 1551 1650 2068 2350 2585 2820 2966 3102 3300 3525 4449 4700 5170 5932 6204 7050 7415 7755 8898 10340 12925 14100 14830 15510 16313 17796 22245 25850 29660 31020 32626 37075 38775 44490 48939 51700 65252 69701 74150 77550 81565 88980 97878 111225 139402 148300 155100 163130 195756 209103 222450 244695 278804 326260 348505 407825 418206 444900 489390 697010 766711 815650 836412 978780 1045515 1223475 1394020 1533422 1631300 1742525 2091030 2300133 2446950 3066844 3485050 3833555 4182060 4600266 4893900 5227575 6970100 7667110 9200532 10455150 11500665 15334220 19167775 20910300 23001330 38335550 46002660 57503325 76671100 115006650 230013300