Search a number
-
+
22004014340 = 22571118178941
BaseRepresentation
bin10100011111100010…
…101001110100000100
32002210111102202010002
4110133202221310010
5330031011424330
614035234220432
71406165015210
oct243742516404
962714382102
1022004014340
119371768720
124321124718
1320c8929239
1410ca507940
1588bb72e45
hex51f8a9d04

22004014340 has 96 divisors (see below), whose sum is σ = 57929534208. Its totient is φ = 6820416000.

The previous prime is 22004014337. The next prime is 22004014343. The reversal of 22004014340 is 4341040022.

It is an interprime number because it is at equal distance from previous prime (22004014337) and next prime (22004014343).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22004014343) 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, 239270 + ... + 318210.

It is an arithmetic number, because the mean of its divisors is an integer number (603432648).

Almost surely, 222004014340 is an apocalyptic number.

22004014340 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 22004014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28964767104).

22004014340 is an abundant number, since it is smaller than the sum of its proper divisors (35925519868).

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

22004014340 is a wasteful number, since it uses less digits than its factorization.

22004014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79149 (or 79147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22004014340 its reverse (4341040022), we get a palindrome (26345054362).

The spelling of 22004014340 in words is "twenty-two billion, four million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 385 724 770 905 1267 1540 1810 1991 2534 3620 3982 5068 6335 7964 9955 12670 13937 19910 25340 27874 39820 55748 69685 78941 139370 157882 278740 315764 394705 552587 789410 868351 1105174 1578820 1736702 2210348 2762935 3473404 4341755 5525870 6078457 8683510 11051740 12156914 14288321 17367020 24313828 28576642 30392285 57153284 60784570 71441605 100018247 121569140 142883210 157171531 200036494 285766420 314343062 400072988 500091235 628686124 785857655 1000182470 1100200717 1571715310 2000364940 2200401434 3143430620 4400802868 5501003585 11002007170 22004014340