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230000202320 = 2457261961861
BaseRepresentation
bin1101011000110100010…
…1001001001001010000
3210222200002221212101212
43112031011021021100
512232020022433240
6253354410315252
722421422314500
oct3261505111120
9728602855355
10230000202320
11895a7133239
12386aa728b28
13188c5755395
14b1bc57da00
155eb20dd165
hex358d149250

230000202320 has 120 divisors (see below), whose sum is σ = 632254977288. Its totient is φ = 77564390400.

The previous prime is 230000202287. The next prime is 230000202337. The reversal of 230000202320 is 23202000032.

It can be written as a sum of positive squares in 4 ways, for example, as 20624406544 + 209375795776 = 143612^2 + 457576^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230000202295 and 230000202304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241811 + ... + 720050.

Almost surely, 2230000202320 is an apocalyptic number.

230000202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230000202320 is an abundant number, since it is smaller than the sum of its proper divisors (402254774968).

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

230000202320 is a wasteful number, since it uses less digits than its factorization.

230000202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961949 (or 961936 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 230000202320 its reverse (23202000032), we get a palindrome (253202202352).

The spelling of 230000202320 in words is "two hundred thirty billion, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 61 70 80 98 112 122 140 196 244 245 280 305 392 427 488 490 560 610 784 854 976 980 1220 1708 1960 2135 2440 2989 3416 3920 4270 4880 5978 6832 8540 11956 14945 17080 23912 29890 34160 47824 59780 119560 239120 961861 1923722 3847444 4809305 6733027 7694888 9618610 13466054 15389776 19237220 26932108 33665135 38474440 47131189 53864216 58673521 67330270 76948880 94262378 107728432 117347042 134660540 188524756 234694084 235655945 269321080 293367605 377049512 410714647 469388168 471311890 538642160 586735210 754099024 821429294 938776336 942623780 1173470420 1642858588 1885247560 2053573235 2346940840 2875002529 3285717176 3770495120 4107146470 4693881680 5750005058 6571434352 8214292940 11500010116 14375012645 16428585880 23000020232 28750025290 32857171760 46000040464 57500050580 115000101160 230000202320