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212222430342 = 232133139293119
BaseRepresentation
bin1100010110100101110…
…0010100110010000110
3202021210010221110220200
43011221130110302012
511434112420232332
6241254343111330
721222032615466
oct3055134246206
9667703843820
10212222430342
1182004035aaa
1235168a42546
1317021592690
14a3b347dba6
1557c14d017c
hex3169714c86

212222430342 has 96 divisors (see below), whose sum is σ = 497461910400. Its totient is φ = 64999673856.

The previous prime is 212222430311. The next prime is 212222430349. The reversal of 212222430342 is 243034222212.

212222430342 is a `hidden beast` number, since 2 + 1 + 2 + 222 + 430 + 3 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222430349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68040259 + ... + 68043377.

It is an arithmetic number, because the mean of its divisors is an integer number (5181894900).

Almost surely, 2212222430342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222430342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248730955200).

212222430342 is an abundant number, since it is smaller than the sum of its proper divisors (285239480058).

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

212222430342 is a wasteful number, since it uses less digits than its factorization.

212222430342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212222430342 its reverse (243034222212), we get a palindrome (455256652554).

The spelling of 212222430342 in words is "two hundred twelve billion, two hundred twenty-two million, four hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 313 626 929 939 1858 1878 2787 2817 3119 4069 5574 5634 6238 8138 8361 9357 12077 12207 16722 18714 24154 24414 28071 36231 36621 40547 56142 72462 73242 81094 108693 121641 217386 243282 290777 364923 581554 729846 872331 976247 1744662 1952494 2616993 2897551 2928741 3780101 5233986 5795102 5857482 7560202 8692653 8786223 11340303 12691211 17385306 17572446 22680606 25382422 26077959 34020909 37668163 38073633 52155918 68041818 75336326 76147266 113004489 114220899 226008978 228441798 339013467 678026934 906933463 1813866926 2720800389 5441600778 8162401167 11790135019 16324802334 23580270038 35370405057 70740810114 106111215171 212222430342