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2222012221000 = 23531113231016689
BaseRepresentation
bin100000010101011010001…
…111111100011001001000
321212102101212000012222221
4200111122033330121020
5242401140112033000
64420440041223424
7316351351150345
oct40253217743110
97772355005887
102222012221000
11787393a75470
122ba783491b74
131316c50c3c90
14797901b37cc
153cbedb9661a
hex2055a3fc648

2222012221000 has 512 divisors, whose sum is σ = 6438173414400. Its totient is φ = 706252800000.

The previous prime is 2222012220991. The next prime is 2222012221003. The reversal of 2222012221000 is 1222102222.

It is not an unprimeable number, because it can be changed into a prime (2222012221003) 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 127 ways as a sum of consecutive naturals, for example, 332185656 + ... + 332192344.

It is an arithmetic number, because the mean of its divisors is an integer number (12574557450).

Almost surely, 22222012221000 is an apocalyptic number.

2222012221000 is a gapful number since it is divisible by the number (20) 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 2222012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219086707200).

2222012221000 is an abundant number, since it is smaller than the sum of its proper divisors (4216161193400).

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

2222012221000 is a wasteful number, since it uses less digits than its factorization.

2222012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222012221000 its reverse (1222102222), we get a palindrome (2223234323222).

It can be divided in two parts, 222201222 and 1000, that added together give a palindrome (222202222).

The spelling of 2222012221000 in words is "two trillion, two hundred twenty-two billion, twelve million, two hundred twenty-one thousand".