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230300212350 = 235213241221581
BaseRepresentation
bin1101011001111011110…
…1100101110001111110
3211000110000110221210110
43112132331211301332
512233123323243400
6253444244450450
722432024335345
oct3263675456176
9730400427713
10230300212350
118974051420a
12387730a9a26
1318942957900
14b20a356b5c
155ecd5eee50
hex359ef65c7e

230300212350 has 144 divisors (see below), whose sum is σ = 633545481744. Its totient is φ = 55306368000.

The previous prime is 230300212349. The next prime is 230300212361. The reversal of 230300212350 is 53212003032.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 928560 + ... + 1150140.

It is an arithmetic number, because the mean of its divisors is an integer number (4399621401).

Almost surely, 2230300212350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230300212350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316772740872).

230300212350 is an abundant number, since it is smaller than the sum of its proper divisors (403245269394).

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

230300212350 is a wasteful number, since it uses less digits than its factorization.

230300212350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221663 (or 221645 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 230300212350 its reverse (53212003032), we get a palindrome (283512215382).

The spelling of 230300212350 in words is "two hundred thirty billion, three hundred million, two hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 41 50 65 75 78 82 123 130 150 169 195 205 246 325 338 390 410 507 533 615 650 845 975 1014 1025 1066 1230 1599 1690 1950 2050 2535 2665 3075 3198 4225 5070 5330 6150 6929 7995 8450 12675 13325 13858 15990 20787 25350 26650 34645 39975 41574 69290 79950 103935 173225 207870 221581 346450 443162 519675 664743 1039350 1107905 1329486 2215810 2880553 3323715 5539525 5761106 6647430 8641659 9084821 11079050 14402765 16618575 17283318 18169642 27254463 28805530 33237150 37447189 43208295 45424105 54508926 72013825 74894378 86416590 90848210 112341567 118102673 136272315 144027650 187235945 216041475 224683134 227120525 236205346 272544630 354308019 374471890 432082950 454241050 561707835 590513365 681361575 708616038 936179725 1123415670 1181026730 1362723150 1535334749 1771540095 1872359450 2808539175 2952566825 3070669498 3543080190 4606004247 5617078350 5905133650 7676673745 8857700475 9212008494 15353347490 17715400950 23030021235 38383368725 46060042470 76766737450 115150106175 230300212350