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2022000000 = 27356337
BaseRepresentation
bin111100010000101…
…0100010110000000
312012220202020112220
41320201110112000
513120113000000
6532350251040
7101051500506
oct17041242600
95186666486
102022000000
11948403589
124851b6a80
13262baac07
14152784676
15bc7ab1a0
hex78854580

2022000000 has 224 divisors, whose sum is σ = 6733507560. Its totient is φ = 537600000.

The previous prime is 2021999999. The next prime is 2022000037. The reversal of 2022000000 is 2202.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5999832 + ... + 6000168.

Almost surely, 22022000000 is an apocalyptic number.

2022000000 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 2022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366753780).

2022000000 is an abundant number, since it is smaller than the sum of its proper divisors (4711507560).

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

2022000000 is an frugal number, since it uses more digits than its factorization.

2022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2022000000 is about 44966.6543118342. The cubic root of 2022000000 is about 1264.5239242353.

Adding to 2022000000 its reverse (2202), we get a palindrome (2022002202).

The spelling of 2022000000 in words is "two billion, twenty-two million", and thus it is an aban number and an uban number.