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2022021000000 = 263256224669
BaseRepresentation
bin11101011011001001110…
…101111110101101000000
321011022012010020120000200
4131123021311332231000
5231112044334000000
64144523103245200
7266041364626161
oct35331165765500
97138163216020
102022021000000
1170a597160041
12287a6a8a9800
131188a28599a1
146dc1b339768
15378e63a8500
hex1d6c9d7eb40

2022021000000 has 294 divisors, whose sum is σ = 7244637150270. Its totient is φ = 539203200000.

The previous prime is 2022020999927. The next prime is 2022021000023. The reversal of 2022021000000 is 1202202.

It can be written as a sum of positive squares in 7 ways, for example, as 1920530332224 + 101490667776 = 1385832^2 + 318576^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8887666 + ... + 9112334.

Almost surely, 22022021000000 is an apocalyptic number.

2022021000000 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 2022021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622318575135).

2022021000000 is an abundant number, since it is smaller than the sum of its proper divisors (5222616150270).

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

2022021000000 is an frugal number, since it uses more digits than its factorization.

2022021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224717 (or 224679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2022021000000 its reverse (1202202), we get a palindrome (2022022202202).

The spelling of 2022021000000 in words is "two trillion, twenty-two billion, twenty-one million", and thus it is an aban number and an uban number.