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20222444022 = 23114161912073
BaseRepresentation
bin10010110101010110…
…100000000111110110
31221012100002121002020
4102311112200013312
5312403421202042
613142353054010
71314062636514
oct226526400766
957170077066
1020222444022
118638051560
123b04557306
131ba37bc911
14d9ba6b4b4
157d555a3ec
hex4b55a01f6

20222444022 has 64 divisors (see below), whose sum is σ = 45274602240. Its totient is φ = 5968396800.

The previous prime is 20222444009. The next prime is 20222444029. The reversal of 20222444022 is 22044422202.

It is a junction number, because it is equal to n+sod(n) for n = 20222443983 and 20222444001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222444029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668978 + ... + 1681050.

It is an arithmetic number, because the mean of its divisors is an integer number (707415660).

Almost surely, 220222444022 is an apocalyptic number.

20222444022 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 20222444022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22637301120).

20222444022 is an abundant number, since it is smaller than the sum of its proper divisors (25052158218).

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

20222444022 is a wasteful number, since it uses less digits than its factorization.

20222444022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749.

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

Adding to 20222444022 its reverse (22044422202), we get a palindrome (42266866224).

The spelling of 20222444022 in words is "twenty billion, two hundred twenty-two million, four hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 619 902 1238 1353 1857 2706 3714 6809 12073 13618 20427 24146 25379 36219 40854 50758 72438 76137 132803 152274 265606 279169 398409 494993 558338 796818 837507 989986 1484979 1675014 2969958 5444923 7473187 10889846 14946374 16334769 22419561 32669538 44839122 82205057 164410114 246615171 306400667 493230342 612801334 919202001 1838404002 3370407337 6740814674 10111222011 20222444022