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2022132000000 = 283567219181
BaseRepresentation
bin11101011011010000011…
…101011010010100000000
321011022110212002221101210
4131123100131122110000
5231112311243000000
64144542110330120
7266044213254300
oct35332035322400
97138425087353
102022132000000
1170a643884a82
12287a9bab9940
131188bc852268
146dc2bd91600
1537900ed2350
hex1d6d075a500

2022132000000 has 1512 divisors, whose sum is σ = 8282884602720. Its totient is φ = 435456000000.

The previous prime is 2022131999989. The next prime is 2022132000001. The reversal of 2022132000000 is 2312202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2022132000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022132000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11171999910 + ... + 11172000090.

Almost surely, 22022132000000 is an apocalyptic number.

2022132000000 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 2022132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141442301360).

2022132000000 is an abundant number, since it is smaller than the sum of its proper divisors (6260752602720).

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

2022132000000 is an frugal number, since it uses more digits than its factorization.

2022132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2022132000000 its reverse (2312202), we get a palindrome (2022134312202).

The spelling of 2022132000000 in words is "two trillion, twenty-two billion, one hundred thirty-two million", and thus it is an aban number.