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20220224040 = 2332556167289
BaseRepresentation
bin10010110101001110…
…000010001000101000
31221012011220210211200
4102311032002020220
5312402334132130
613142233324200
71314035032332
oct226516021050
957164823750
1020220224040
118636875665
123b03866660
131ba31c3313
14d9b650452
157d526c760
hex4b5382228

20220224040 has 48 divisors (see below), whose sum is σ = 65715729300. Its totient is φ = 5392059648.

The previous prime is 20220223973. The next prime is 20220224069. The reversal of 20220224040 is 4042202202.

20220224040 is a `hidden beast` number, since 20 + 220 + 22 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20147531364 + 72692676 = 141942^2 + 8526^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28083285 + ... + 28084004.

Almost surely, 220220224040 is an apocalyptic number.

20220224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220224040 is an abundant number, since it is smaller than the sum of its proper divisors (45495505260).

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

20220224040 is a wasteful number, since it uses less digits than its factorization.

20220224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56167306 (or 56167299 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20220224040 its reverse (4042202202), we get a palindrome (24262426242).

The spelling of 20220224040 in words is "twenty billion, two hundred twenty million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56167289 112334578 168501867 224669156 280836445 337003734 449338312 505505601 561672890 674007468 842509335 1011011202 1123345780 1348014936 1685018670 2022022404 2246691560 2527528005 3370037340 4044044808 5055056010 6740074680 10110112020 20220224040