Search a number
-
+
20404222420 = 22511312976961
BaseRepresentation
bin10011000000001011…
…111011100111010100
31221200000010220011111
4103000023323213110
5313241440104140
613212405144404
71321431012631
oct230013734724
957600126144
1020404222420
11872071933a
123b553bb104
131c023670ba
14db7c69188
157e64b57ea
hex4c02fb9d4

20404222420 has 48 divisors (see below), whose sum is σ = 43267604688. Its totient is φ = 8082063360.

The previous prime is 20404222403. The next prime is 20404222453. The reversal of 20404222420 is 2422240402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 285069456 + 20119152964 = 16884^2 + 141842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20404222391 and 20404222400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2927740 + ... + 2934700.

It is an arithmetic number, because the mean of its divisors is an integer number (901408431).

Almost surely, 220404222420 is an apocalyptic number.

20404222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20404222420 is an abundant number, since it is smaller than the sum of its proper divisors (22863382268).

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

20404222420 is a wasteful number, since it uses less digits than its factorization.

20404222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20404222420 its reverse (2422240402), we get a palindrome (22826462822).

The spelling of 20404222420 in words is "twenty billion, four hundred four million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 1297 2260 2594 5188 6485 6961 12970 13922 25940 27844 34805 69610 139220 146561 293122 586244 732805 786593 1465610 1573186 2931220 3146372 3932965 7865930 9028417 15731860 18056834 36113668 45142085 90284170 180568340 1020211121 2040422242 4080844484 5101055605 10202111210 20404222420