Search a number
-
+
30202333420 = 22573161114083
BaseRepresentation
bin11100001000001100…
…110000100011101100
32212221212000111122111
4130020030300203230
5443323244132140
621512540453404
72116304412130
oct341014604354
985855014574
1030202333420
1111899480136
125a2a84a264
132b0428850c
1416672773c0
15bbb7947ea
hex7083308ec

30202333420 has 96 divisors (see below), whose sum is σ = 76051132416. Its totient is φ = 9856684800.

The previous prime is 30202333387. The next prime is 30202333457. The reversal of 30202333420 is 2433320203.

It is a junction number, because it is equal to n+sod(n) for n = 30202333391 and 30202333400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207699 + ... + 321781.

It is an arithmetic number, because the mean of its divisors is an integer number (792199296).

Almost surely, 230202333420 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 30202333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38025566208).

30202333420 is an abundant number, since it is smaller than the sum of its proper divisors (45848798996).

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

30202333420 is a wasteful number, since it uses less digits than its factorization.

30202333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114191 (or 114189 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 30202333420 its reverse (2433320203), we get a palindrome (32635653623).

The spelling of 30202333420 in words is "thirty billion, two hundred two million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 61 62 70 122 124 140 155 217 244 305 310 427 434 610 620 854 868 1085 1220 1708 1891 2135 2170 3782 4270 4340 7564 8540 9455 13237 18910 26474 37820 52948 66185 114083 132370 228166 264740 456332 570415 798581 1140830 1597162 2281660 3194324 3536573 3992905 6959063 7073146 7985810 13918126 14146292 15971620 17682865 24756011 27836252 34795315 35365730 48713441 49512022 69590630 70731460 97426882 99024044 123780055 139181260 194853764 215730953 243567205 247560110 431461906 487134410 495120220 862923812 974268820 1078654765 1510116671 2157309530 3020233342 4314619060 6040466684 7550583355 15101166710 30202333420