Search a number
-
+
220222202222022 = 2371121331372906161
BaseRepresentation
bin110010000100101001111010…
…001000101001010111000110
31001212202000222220202222122220
4302010221322020221113012
5212331110032232101042
62100212403312233210
764246346316142620
oct6204517210512706
91055660886688586
10220222202222022
1164195790a78600
1220848655b3b806
1395b5b31598560
143c54b50903c10
151a6d7416208ec
hexc84a7a2295c6

220222202222022 has 384 divisors, whose sum is σ = 631690440105984. Its totient is φ = 49716260352000.

The previous prime is 220222202222003. The next prime is 220222202222039.

220222202222022 is nontrivially palindromic in base 10.

220222202222022 is a modest number, since divided by 2202222022 gives 22022 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 220222202221983 and 220222202222001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74324622 + ... + 77230782.

It is an arithmetic number, because the mean of its divisors is an integer number (1645027187776).

Almost surely, 2220222202222022 is an apocalyptic number.

220222202222022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220222202222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315845220052992).

220222202222022 is an abundant number, since it is smaller than the sum of its proper divisors (411468237883962).

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

220222202222022 is a wasteful number, since it uses less digits than its factorization.

220222202222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906276 (or 2906265 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 22022220 and 2222022, that added together give a palindrome (24244242).

The spelling of 220222202222022 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty-two thousand, twenty-two".