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1230266232 = 233913601
BaseRepresentation
bin100100101010100…
…0101111101111000
310011201222000000000
41021111011331320
510004422004412
6322024513000
742326043006
oct11125057570
93151860000
101230266232
115814a9258
122a401b760
13167b606b0
14b956ba76
15730184dc
hex49545f78

1230266232 has 160 divisors (see below), whose sum is σ = 3732424080. Its totient is φ = 377913600.

The previous prime is 1230266227. The next prime is 1230266237. The reversal of 1230266232 is 2326620321.

1230266232 is a `hidden beast` number, since 1 + 2 + 30 + 2 + 6 + 623 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1230266227) and next prime (1230266237).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1230266196 and 1230266205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230266237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2046732 + ... + 2047332.

Almost surely, 21230266232 is an apocalyptic number.

1230266232 is a gapful number since it is divisible by the number (12) 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 1230266232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866212040).

1230266232 is an abundant number, since it is smaller than the sum of its proper divisors (2502157848).

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

1230266232 is an frugal number, since it uses more digits than its factorization.

1230266232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1230266232 is about 35075.1512042357. The cubic root of 1230266232 is about 1071.5185681661.

Adding to 1230266232 its reverse (2326620321), we get a palindrome (3556886553).

The spelling of 1230266232 in words is "one billion, two hundred thirty million, two hundred sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 601 648 702 729 936 972 1053 1202 1404 1458 1803 1944 2106 2187 2404 2808 2916 3159 3606 4212 4374 4808 5409 5832 6318 6561 7212 7813 8424 8748 9477 10818 12636 13122 14424 15626 16227 17496 18954 19683 21636 23439 25272 26244 28431 31252 32454 37908 39366 43272 46878 48681 52488 56862 62504 64908 70317 75816 78732 85293 93756 97362 113724 129816 140634 146043 157464 170586 187512 194724 210951 227448 255879 281268 292086 341172 389448 421902 438129 511758 562536 584172 632853 682344 843804 876258 1023516 1168344 1265706 1314387 1687608 1752516 1898559 2047032 2531412 2628774 3505032 3797118 3943161 5062824 5257548 5695677 7594236 7886322 10515096 11391354 11829483 15188472 15772644 17087031 22782708 23658966 31545288 34174062 45565416 47317932 51261093 68348124 94635864 102522186 136696248 153783279 205044372 307566558 410088744 615133116 1230266232