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20440330420 = 22529233151253
BaseRepresentation
bin10011000010010101…
…101011000010110100
31221202112002101000211
4103002111223002310
5313330211033140
613220135115204
71322346641026
oct230225530264
957675071024
1020440330420
11873a040864
123b65512b04
131c0999a293
14dbc988016
157e97492ea
hex4c256b0b4

20440330420 has 48 divisors (see below), whose sum is σ = 44595729360. Its totient is φ = 7860263936.

The previous prime is 20440330399. The next prime is 20440330429. The reversal of 20440330420 is 2403304402.

It can be written as a sum of positive squares in 8 ways, for example, as 3912484 + 20436417936 = 1978^2 + 142956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20440330391 and 20440330400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440330429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59514 + ... + 210766.

It is an arithmetic number, because the mean of its divisors is an integer number (929077695).

Almost surely, 220440330420 is an apocalyptic number.

20440330420 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 20440330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297864680).

20440330420 is an abundant number, since it is smaller than the sum of its proper divisors (24155398940).

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

20440330420 is a wasteful number, since it uses less digits than its factorization.

20440330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151524 (or 151522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20440330420 its reverse (2403304402), we get a palindrome (22843634822).

The spelling of 20440330420 in words is "twenty billion, four hundred forty million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 233 290 466 580 932 1165 2330 4660 6757 13514 27028 33785 67570 135140 151253 302506 605012 756265 1512530 3025060 4386337 8772674 17545348 21931685 35241949 43863370 70483898 87726740 140967796 176209745 352419490 704838980 1022016521 2044033042 4088066084 5110082605 10220165210 20440330420