Search a number
-
+
30214222220 = 22572132182431
BaseRepresentation
bin11100001000111010…
…000111000110001100
32212222200101112000102
4130020322013012030
5443334320102340
621514043350232
72116510436300
oct341072070614
985880345012
1030214222220
11118a5160396
125a32822378
132b0688ba00
141668a8dd00
15bbc842215
hex708e8718c

30214222220 has 108 divisors (see below), whose sum is σ = 79923824064. Its totient is φ = 9562250880.

The previous prime is 30214222151. The next prime is 30214222231. The reversal of 30214222220 is 2222241203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30214222192 and 30214222201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74405 + ... + 256835.

It is an arithmetic number, because the mean of its divisors is an integer number (740035408).

Almost surely, 230214222220 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 30214222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39961912032).

30214222220 is an abundant number, since it is smaller than the sum of its proper divisors (49709601844).

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

30214222220 is a wasteful number, since it uses less digits than its factorization.

30214222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182480 (or 182458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30214222220 its reverse (2222241203), we get a palindrome (32436463423).

The spelling of 30214222220 in words is "thirty billion, two hundred fourteen million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 23660 33124 41405 82810 165620 182431 364862 729724 912155 1277017 1824310 2371603 2554034 3648620 4743206 5108068 6385085 8939119 9486412 11858015 12770170 16601221 17878238 23716030 25540340 30830839 33202442 35756476 44695595 47432060 61661678 66404884 83006105 89391190 116208547 123323356 154154195 166012210 178782380 215815873 232417094 308308390 332024420 431631746 464834188 581042735 616616780 863263492 1079079365 1162085470 1510711111 2158158730 2324170940 3021422222 4316317460 6042844444 7553555555 15107111110 30214222220