Search a number
-
+
212305315350 = 235267142914783
BaseRepresentation
bin1100010110111001100…
…0100000011000010110
3202021222220220110202210
43011232120200120112
511434300130042400
6241310503414250
721224060255652
oct3055630403026
9667886813683
10212305315350
11820468a7807
1235190754386
13170357c2c6b
14a3c0497a62
1557c8903950
hex316e620616

212305315350 has 96 divisors (see below), whose sum is σ = 534785771520. Its totient is φ = 55726957440.

The previous prime is 212305315349. The next prime is 212305315367. The reversal of 212305315350 is 53513503212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14354059 + ... + 14368841.

It is an arithmetic number, because the mean of its divisors is an integer number (5570685120).

Almost surely, 2212305315350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212305315350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267392885760).

212305315350 is an abundant number, since it is smaller than the sum of its proper divisors (322480456170).

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

212305315350 is a wasteful number, since it uses less digits than its factorization.

212305315350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16294 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 212305315350 its reverse (53513503212), we get a palindrome (265818818562).

The spelling of 212305315350 in words is "two hundred twelve billion, three hundred five million, three hundred fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1429 1675 2010 2858 3350 4287 5025 7145 8574 10050 14290 14783 21435 29566 35725 42870 44349 71450 73915 88698 95743 107175 147830 191486 214350 221745 287229 369575 443490 478715 574458 739150 957430 990461 1108725 1436145 1980922 2217450 2393575 2872290 2971383 4787150 4952305 5942766 7180725 9904610 14361450 14856915 21124907 24761525 29713830 42249814 49523050 63374721 74284575 105624535 126749442 148569150 211249070 316873605 528122675 633747210 1056245350 1415368769 1584368025 2830737538 3168736050 4246106307 7076843845 8492212614 14153687690 21230531535 35384219225 42461063070 70768438450 106152657675 212305315350