Search a number
-
+
12230213232 = 2436714925523
BaseRepresentation
bin10110110001111101…
…00011111001110000
31011120100022012112110
423120332203321300
5200021413310412
65341331525320
7612035045226
oct133076437160
934510265473
1012230213232
115206700246
122453a59840
1311cba69b83
14840426b16
154b8a96d3c
hex2d8fa3e70

12230213232 has 80 divisors (see below), whose sum is σ = 32282755200. Its totient is φ = 3988782336.

The previous prime is 12230213221. The next prime is 12230213243. The reversal of 12230213232 is 23231203221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12230213221) and next prime (12230213243).

It is a junction number, because it is equal to n+sod(n) for n = 12230213199 and 12230213208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466423 + ... + 491945.

It is an arithmetic number, because the mean of its divisors is an integer number (403534440).

Almost surely, 212230213232 is an apocalyptic number.

12230213232 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 12230213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141377600).

12230213232 is an abundant number, since it is smaller than the sum of its proper divisors (20052541968).

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

12230213232 is a wasteful number, since it uses less digits than its factorization.

12230213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25750 (or 25744 counting only the distinct ones).

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

Adding to 12230213232 its reverse (23231203221), we get a palindrome (35461416453).

The spelling of 12230213232 in words is "twelve billion, two hundred thirty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 149 201 268 298 402 447 536 596 804 894 1072 1192 1608 1788 2384 3216 3576 7152 9983 19966 25523 29949 39932 51046 59898 76569 79864 102092 119796 153138 159728 204184 239592 306276 408368 479184 612552 1225104 1710041 3420082 3802927 5130123 6840164 7605854 10260246 11408781 13680328 15211708 20520492 22817562 27360656 30423416 41040984 45635124 60846832 82081968 91270248 182540496 254796109 509592218 764388327 1019184436 1528776654 2038368872 3057553308 4076737744 6115106616 12230213232