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20330302212 = 223311120114249
BaseRepresentation
bin10010111011110001…
…111100101100000100
31221110212001100201000
4102323301330230010
5313114024132322
613201204533300
71316542501053
oct227361745404
957425040630
1020330302212
118692a1aa60
123b346b1230
131bbcc5512c
14dac10639a
157dec633ac
hex4bbc7cb04

20330302212 has 96 divisors (see below), whose sum is σ = 57551760000. Its totient is φ = 6155136000.

The previous prime is 20330302183. The next prime is 20330302217. The reversal of 20330302212 is 21220303302.

It is a happy number.

20330302212 is a `hidden beast` number, since 20 + 330 + 302 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20330302217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419664 + ... + 1433912.

It is an arithmetic number, because the mean of its divisors is an integer number (599497500).

Almost surely, 220330302212 is an apocalyptic number.

20330302212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28775880000).

20330302212 is an abundant number, since it is smaller than the sum of its proper divisors (37221457788).

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

20330302212 is a wasteful number, since it uses less digits than its factorization.

20330302212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15474 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20330302212 its reverse (21220303302), we get a palindrome (41550605514).

The spelling of 20330302212 in words is "twenty billion, three hundred thirty million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1201 2402 3603 4804 7206 10809 13211 14249 14412 21618 26422 28498 32427 39633 42747 43236 52844 56996 64854 79266 85494 118899 128241 129708 156739 158532 170988 237798 256482 313478 356697 384723 470217 475596 512964 626956 713394 769446 940434 1410651 1426788 1538892 1880868 2821302 4231953 5642604 8463906 16927812 17113049 34226098 51339147 68452196 102678294 154017441 188243539 205356588 308034882 376487078 462052323 564730617 616069764 752974156 924104646 1129461234 1694191851 1848209292 2258922468 3388383702 5082575553 6776767404 10165151106 20330302212