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20222122000 = 245310111061
BaseRepresentation
bin10010110101010101…
…010001100000010000
31221012022111020100111
4102311111101200100
5312403330401000
613142342131104
71314060125623
oct226525214020
957168436314
1020222122000
118637951623
123b04420a94
131ba3709182
14d9b9c5dba
157d54e4cba
hex4b5551810

20222122000 has 40 divisors (see below), whose sum is σ = 48897095832. Its totient is φ = 8088848000.

The previous prime is 20222121991. The next prime is 20222122003. The reversal of 20222122000 is 22122202.

It can be written as a sum of positive squares in 4 ways, for example, as 1389500176 + 18832621824 = 37276^2 + 137232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20222122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5053531 + ... + 5057530.

Almost surely, 220222122000 is an apocalyptic number.

20222122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222122000 is an abundant number, since it is smaller than the sum of its proper divisors (28674973832).

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

20222122000 is a wasteful number, since it uses less digits than its factorization.

20222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111084 (or 10111068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20222122000 its reverse (22122202), we get a palindrome (20244244202).

The spelling of 20222122000 in words is "twenty billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10111061 20222122 40444244 50555305 80888488 101110610 161776976 202221220 252776525 404442440 505553050 808884880 1011106100 1263882625 2022212200 2527765250 4044424400 5055530500 10111061000 20222122000