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20220124320 = 25325112355501
BaseRepresentation
bin10010110101001101…
…101001110010100000
31221012011201202001100
4102311031221302200
5312402322434240
613142231234400
71314034135524
oct226515516240
957164652040
1020220124320
118636807750
123b03818a00
131ba3189b06
14d9b625d84
157d524ce30
hex4b5369ca0

20220124320 has 288 divisors, whose sum is σ = 78548206464. Its totient is φ = 4688640000.

The previous prime is 20220124271. The next prime is 20220124321. The reversal of 20220124320 is 2342102202.

20220124320 is a `hidden beast` number, since 2 + 0 + 220 + 12 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20220124293 and 20220124302.

It is not an unprimeable number, because it can be changed into a prime (20220124321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336570 + ... + 392070.

It is an arithmetic number, because the mean of its divisors is an integer number (272736828).

Almost surely, 220220124320 is an apocalyptic number.

20220124320 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 20220124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39274103232).

20220124320 is an abundant number, since it is smaller than the sum of its proper divisors (58328082144).

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

20220124320 is a wasteful number, since it uses less digits than its factorization.

20220124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55556 (or 55545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20220124320 its reverse (2342102202), we get a palindrome (22562226522).

The spelling of 20220124320 in words is "twenty billion, two hundred twenty million, one hundred twenty-four thousand, three hundred twenty".