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1230229188 = 2233127257349
BaseRepresentation
bin100100101010011…
…1100111011000100
310011201220010012000
41021110330323010
510004414313223
6322024025300
742325530006
oct11124747304
93151803160
101230229188
11581483441
122a4002230
13167b49886
14b955c376
157300c543
hex4953cec4

1230229188 has 96 divisors (see below), whose sum is σ = 3236352000. Its totient is φ = 404103168.

The previous prime is 1230229177. The next prime is 1230229223. The reversal of 1230229188 is 8819220321.

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

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, 3524838 + ... + 3525186.

It is an arithmetic number, because the mean of its divisors is an integer number (33712000).

Almost surely, 21230229188 is an apocalyptic number.

1230229188 is a gapful number since it is divisible by the number (18) 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 1230229188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618176000).

1230229188 is an abundant number, since it is smaller than the sum of its proper divisors (2006122812).

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

1230229188 is a wasteful number, since it uses less digits than its factorization.

1230229188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1230229188 is about 35074.6231341122. The cubic root of 1230229188 is about 1071.5078133849.

It can be divided in two parts, 12 and 30229188, that added together give a triangular number (30229200 = T7775).

The spelling of 1230229188 in words is "one billion, two hundred thirty million, two hundred twenty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 257 349 381 508 514 698 762 771 1028 1047 1143 1396 1524 1542 2094 2286 2313 3084 3141 3429 4188 4572 4626 6282 6858 6939 9252 9423 12564 13716 13878 18846 27756 32639 37692 44323 65278 88646 89693 97917 130556 132969 177292 179386 195834 265938 269079 293751 358772 391668 398907 531876 538158 587502 797814 807237 881253 1076316 1175004 1196721 1595628 1614474 1762506 2393442 2421711 3228948 3525012 4786884 4843422 9686844 11391011 22782022 34173033 45564044 68346066 102519099 136692132 205038198 307557297 410076396 615114594 1230229188