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20310330222 = 23271322355603
BaseRepresentation
bin10010111010100101…
…110000101101101110
31221102110110200021200
4102322211300231232
5313043421031342
613155212510330
71316210646510
oct227245605556
957373420250
1020310330222
118682719786
123b29a7b3a6
131bb8a816a0
14da95c7bb0
157dd11a94c
hex4ba970b6e

20310330222 has 96 divisors (see below), whose sum is σ = 54404732928. Its totient is φ = 5332454208.

The previous prime is 20310330221. The next prime is 20310330241. The reversal of 20310330222 is 22203301302.

It is a happy number.

20310330222 is a `hidden beast` number, since 2 + 0 + 310 + 330 + 2 + 22 = 666.

It is a super-3 number, since 3×203103302223 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20310330195 and 20310330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310330221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337473 + ... + 393075.

It is an arithmetic number, because the mean of its divisors is an integer number (566715968).

Almost surely, 220310330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202366464).

20310330222 is an abundant number, since it is smaller than the sum of its proper divisors (34094402706).

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

20310330222 is a wasteful number, since it uses less digits than its factorization.

20310330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55854 (or 55851 counting only the distinct ones).

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

Adding to 20310330222 its reverse (22203301302), we get a palindrome (42513631524).

The spelling of 20310330222 in words is "twenty billion, three hundred ten million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 223 234 273 446 546 669 819 1338 1561 1638 2007 2899 3122 4014 4683 5798 8697 9366 14049 17394 20293 26091 28098 40586 52182 55603 60879 111206 121758 166809 182637 333618 365274 389221 500427 722839 778442 1000854 1167663 1445678 2168517 2335326 3502989 4337034 5059873 6505551 7005978 10119746 12399469 13011102 15179619 24798938 30359238 37198407 45538857 74396814 86796283 91077714 111595221 161193097 173592566 223190442 260388849 322386194 483579291 520777698 781166547 967158582 1128351679 1450737873 1562333094 2256703358 2901475746 3385055037 6770110074 10155165111 20310330222