Search a number
-
+
20322044424 = 23331143319753
BaseRepresentation
bin10010111011010010…
…011100101000001000
31221110021111211011000
4102323102130220020
5313104420410144
613200311535000
71316412345633
oct227322345010
957407454130
1020322044424
11868929a840
123b3198a460
131bbb323576
14daad96c1a
157de181769
hex4bb49ca08

20322044424 has 128 divisors (see below), whose sum is σ = 61727299200. Its totient is φ = 6143662080.

The previous prime is 20322044423. The next prime is 20322044459. The reversal of 20322044424 is 42444022302.

20322044424 is a `hidden beast` number, since 2 + 0 + 32 + 204 + 4 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20322044423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018932 + ... + 1038684.

It is an arithmetic number, because the mean of its divisors is an integer number (482244525).

Almost surely, 220322044424 is an apocalyptic number.

20322044424 is a gapful number since it is divisible by the number (24) 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 20322044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30863649600).

20322044424 is an abundant number, since it is smaller than the sum of its proper divisors (41405254776).

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

20322044424 is a wasteful number, since it uses less digits than its factorization.

20322044424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20322044424 its reverse (42444022302), we get a palindrome (62766066726).

The spelling of 20322044424 in words is "twenty billion, three hundred twenty-two million, forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 433 594 792 866 1188 1299 1732 2376 2598 3464 3897 4763 5196 7794 9526 10392 11691 14289 15588 19052 19753 23382 28578 31176 38104 39506 42867 46764 57156 59259 79012 85734 93528 114312 118518 128601 158024 171468 177777 217283 237036 257202 342936 355554 434566 474072 514404 533331 651849 711108 869132 1028808 1066662 1303698 1422216 1738264 1955547 2133324 2607396 3911094 4266648 5214792 5866641 7822188 8553049 11733282 15644376 17106098 23466564 25659147 34212196 46933128 51318294 68424392 76977441 94083539 102636588 153954882 188167078 205273176 230932323 282250617 307909764 376334156 461864646 564501234 615819528 752668312 846751851 923729292 1129002468 1693503702 1847458584 2258004936 2540255553 3387007404 5080511106 6774014808 10161022212 20322044424