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230231012232 = 2331312715593727
BaseRepresentation
bin1101011001101011010…
…1100111001110001000
3211000021012021020002010
43112122311213032020
512233003114342412
6253433333335520
722430224212624
oct3263265471610
9730235236063
10230231012232
118970544a131
1238753a975a0
13189315091b0
14b2010a2184
155ec74d133c
hex359ad67388

230231012232 has 128 divisors (see below), whose sum is σ = 625301913600. Its totient is φ = 70218586368.

The previous prime is 230231012227. The next prime is 230231012287. The reversal of 230231012232 is 232210132032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230231012199 and 230231012208.

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, 61771953 + ... + 61775679.

It is an arithmetic number, because the mean of its divisors is an integer number (4885171200).

Almost surely, 2230231012232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230231012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312650956800).

230231012232 is an abundant number, since it is smaller than the sum of its proper divisors (395070901368).

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

230231012232 is a wasteful number, since it uses less digits than its factorization.

230231012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230231012232 its reverse (232210132032), we get a palindrome (462441144264).

The spelling of 230231012232 in words is "two hundred thirty billion, two hundred thirty-one million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1559 1651 3048 3118 3302 3727 4677 4953 6236 6604 7454 9354 9906 11181 12472 13208 14908 18708 19812 20267 22362 29816 37416 39624 40534 44724 48451 60801 81068 89448 96902 121602 145353 162136 193804 197993 243204 290706 387608 395986 473329 486408 581412 593979 791972 946658 1162824 1187958 1419987 1583944 1893316 2375916 2573909 2839974 3786632 4751832 5147818 5679948 5810393 6153277 7721727 10295636 11359896 11620786 12306554 15443454 17431179 18459831 20591272 23241572 24613108 30886908 34862358 36919662 46483144 49226216 61773816 69724716 73839324 75535109 139449432 147678648 151070218 226605327 302140436 453210654 604280872 737919911 906421308 1475839822 1812842616 2213759733 2951679644 4427519466 5903359288 8855038932 9592958843 17710077864 19185917686 28778876529 38371835372 57557753058 76743670744 115115506116 230231012232