Search a number
-
+
22404340320 = 2535251185959
BaseRepresentation
bin10100110111011001…
…110001101001100000
32010211101201102010020
4110313121301221200
5331341002342240
614143054433440
71422125515305
oct246731615140
963741642106
1022404340320
11955773653a
124413202880
13216085300b
1411277550ac
158b1d9d0d0
hex537671a60

22404340320 has 96 divisors (see below), whose sum is σ = 70855223040. Its totient is φ = 5950656000.

The previous prime is 22404340297. The next prime is 22404340327. The reversal of 22404340320 is 2304340422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22404340327) by changing a digit.

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, 27501 + ... + 213459.

It is an arithmetic number, because the mean of its divisors is an integer number (738075240).

Almost surely, 222404340320 is an apocalyptic number.

22404340320 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 22404340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35427611520).

22404340320 is an abundant number, since it is smaller than the sum of its proper divisors (48450882720).

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

22404340320 is a wasteful number, since it uses less digits than its factorization.

22404340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186228 (or 186220 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22404340320 its reverse (2304340422), we get a palindrome (24708680742).

The spelling of 22404340320 in words is "twenty-two billion, four hundred four million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 40160 60240 120480 185959 371918 557877 743836 929795 1115754 1487672 1859590 2231508 2789385 2975344 3719180 4463016 5578770 5950688 7438360 8926032 11157540 14876720 17852064 22315080 29753440 44630160 46675709 89260320 93351418 140027127 186702836 233378545 280054254 373405672 466757090 560108508 700135635 746811344 933514180 1120217016 1400271270 1493622688 1867028360 2240434032 2800542540 3734056720 4480868064 5601085080 7468113440 11202170160 22404340320