Search a number
-
+
30200213232 = 2433753188431
BaseRepresentation
bin11100001000000100…
…101010111011110000
32212221201000210022000
4130020010222323300
5443322223310412
621512423214000
72116250401620
oct341004527360
985851023260
1030200213232
1111898262212
125a29ba7300
132b039c5477
141666c84880
15bbb4c64dc
hex70812aef0

30200213232 has 160 divisors (see below), whose sum is σ = 100939253760. Its totient is φ = 8465783040.

The previous prime is 30200213231. The next prime is 30200213287. The reversal of 30200213232 is 23231200203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200213231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66057 + ... + 254487.

It is an arithmetic number, because the mean of its divisors is an integer number (630870336).

Almost surely, 230200213232 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 30200213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50469626880).

30200213232 is an abundant number, since it is smaller than the sum of its proper divisors (70739040528).

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

30200213232 is a wasteful number, since it uses less digits than its factorization.

30200213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188508 (or 188496 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30200213232 its reverse (23231200203), we get a palindrome (53431413435).

The spelling of 30200213232 in words is "thirty billion, two hundred million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2544 2862 2968 3024 3339 3816 4452 5724 5936 6678 7632 8904 10017 11448 13356 17808 20034 22896 26712 40068 53424 80136 160272 188431 376862 565293 753724 1130586 1319017 1507448 1695879 2261172 2638034 3014896 3391758 3957051 4522344 5087637 5276068 6783516 7914102 9044688 9986843 10175274 10552136 11871153 13567032 15828204 19973686 20350548 21104272 23742306 27134064 29960529 31656408 35613459 39947372 40701096 47484612 59921058 63312816 69907901 71226918 79894744 81402192 89881587 94969224 119842116 139815802 142453836 159789488 179763174 189938448 209723703 239684232 269644761 279631604 284907672 359526348 419447406 479368464 539289522 559263208 569815344 629171109 719052696 838894812 1078579044 1118526416 1258342218 1438105392 1677789624 1887513327 2157158088 2516684436 3355579248 3775026654 4314316176 5033368872 7550053308 10066737744 15100106616 30200213232