Search a number
-
+
220001122022022 = 232111278748951007
BaseRepresentation
bin110010000001011100000000…
…101110100111001010000110
31001211221220100110101012002100
4302001130000232213022012
5212313444244214201042
62055523041544252530
764224361615352565
oct6201340056471206
91054856313335070
10220001122022022
116410aa51a67110
1220811836771146
13959b02ab64173
143c4817acb3bdc
151a67b026ab24c
hexc81700ba7286

220001122022022 has 48 divisors (see below), whose sum is σ = 524097161183232. Its totient is φ = 66142069605360.

The previous prime is 220001122021999. The next prime is 220001122022027. The reversal of 220001122022022 is 220220221100022.

220001122022022 is a `hidden beast` number, since 2 + 200 + 0 + 1 + 1 + 220 + 220 + 22 = 666.

It is a super-2 number, since 2×2200011220220222 (a number of 29 digits) contains 22 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 = 220001122021986 and 220001122022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001122022027) 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 23 ways as a sum of consecutive naturals, for example, 4374450358 + ... + 4374500649.

It is an arithmetic number, because the mean of its divisors is an integer number (10918690857984).

Almost surely, 2220001122022022 is an apocalyptic number.

220001122022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220001122022022 is an abundant number, since it is smaller than the sum of its proper divisors (304096039161210).

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

220001122022022 is a wasteful number, since it uses less digits than its factorization.

220001122022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748951153 (or 8748951150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220001122022022 its reverse (220220221100022), we get a palindrome (440221343122044).

The spelling of 220001122022022 in words is "two hundred twenty trillion, one billion, one hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 8382 12573 25146 8748951007 17497902014 26246853021 52493706042 78740559063 96238461077 157481118126 192476922154 288715383231 577430766462 866146149693 1111116777889 1732292299386 2222233555778 3333350333667 6666700667334 10000051001001 12222284556779 20000102002002 24444569113558 36666853670337 73333707340674 110000561011011 220001122022022