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20221130320 = 245252764129
BaseRepresentation
bin10010110101010001…
…011111011001010000
31221012020121212000121
4102311101133121100
5312403102132240
613142305000024
71314045525466
oct226521373120
957166555017
1020221130320
118637334556
123b04023014
131ba344c991
14d9b808836
157d539b04a
hex4b545f650

20221130320 has 20 divisors (see below), whose sum is σ = 47014128180. Its totient is φ = 8088452096.

The previous prime is 20221130309. The next prime is 20221130327. The reversal of 20221130320 is 2303112202.

It can be written as a sum of positive squares in 2 ways, for example, as 8003807296 + 12217323024 = 89464^2 + 110532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×202211303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20221130294 and 20221130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126381985 + ... + 126382144.

It is an arithmetic number, because the mean of its divisors is an integer number (2350706409).

Almost surely, 220221130320 is an apocalyptic number.

20221130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221130320 is an abundant number, since it is smaller than the sum of its proper divisors (26792997860).

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

20221130320 is a wasteful number, since it uses less digits than its factorization.

20221130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252764142 (or 252764136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20221130320 its reverse (2303112202), we get a palindrome (22524242522).

The spelling of 20221130320 in words is "twenty billion, two hundred twenty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 252764129 505528258 1011056516 1263820645 2022113032 2527641290 4044226064 5055282580 10110565160 20221130320