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202334302324 = 2272111012633533
BaseRepresentation
bin1011110001110000010…
…0000111000001110100
3201100021000200112022001
42330130010013001310
511303340040133244
6232541234145044
720422014123100
oct2743404070164
9640230615261
10202334302324
117889a491080
1233269422184
1316106b1465b
149b1611c900
1553e336e5d4
hex2f1c107074

202334302324 has 144 divisors (see below), whose sum is σ = 455643086976. Its totient is φ = 77732256000.

The previous prime is 202334302319. The next prime is 202334302367. The reversal of 202334302324 is 423203433202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 202334302292 and 202334302301.

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, 57268062 + ... + 57271594.

It is an arithmetic number, because the mean of its divisors is an integer number (3164188104).

Almost surely, 2202334302324 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 202334302324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227821543488).

202334302324 is an abundant number, since it is smaller than the sum of its proper divisors (253308784652).

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

202334302324 is a wasteful number, since it uses less digits than its factorization.

202334302324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 202334302324 its reverse (423203433202), we get a palindrome (625537735526).

The spelling of 202334302324 in words is "two hundred two billion, three hundred thirty-four million, three hundred two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 154 196 202 263 308 404 526 539 707 1052 1078 1111 1414 1841 2156 2222 2828 2893 3533 3682 4444 4949 5786 7066 7364 7777 9898 11572 12887 14132 15554 19796 20251 24731 25774 26563 31108 38863 40502 49462 51548 53126 54439 77726 81004 98924 106252 108878 141757 155452 173117 185941 217756 272041 283514 292193 346234 356833 371882 544082 567028 584386 692468 713666 743764 929179 1088164 1168772 1301587 1427332 1858358 1904287 2045351 2497831 2603174 3716716 3808574 3925163 4090702 4995662 5206348 6504253 7617148 7850326 8181404 9991324 10220969 13008506 14317457 15700652 17484817 20441938 26017012 27476141 28634914 34969634 40883876 45529771 54952282 57269828 69939268 71546783 91059542 93847079 109904564 143093566 182119084 187694158 192332987 286187132 375388316 384665974 500827481 656929553 769331948 1001654962 1032317869 1313859106 2003309924 2064635738 2627718212 4129271476 4598506871 7226225083 9197013742 14452450166 18394027484 28904900332 50583575581 101167151162 202334302324