Search a number
-
+
2223214423340 = 22517461109113001
BaseRepresentation
bin100000010110100001111…
…001111110110100101100
321212112111122011102120112
4200112201321332310230
5242411120343021330
64421155224435152
7316423216540421
oct40264171766454
97775448142515
102223214423340
11787950645919
122baa5a018ab8
131318571a9a01
1479865b17d48
153cc6e4b9795
hex205a1e7ed2c

2223214423340 has 96 divisors (see below), whose sum is σ = 4959028122048. Its totient is φ = 834329600000.

The previous prime is 2223214423327. The next prime is 2223214423363. The reversal of 2223214423340 is 433244123222.

2223214423340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2223214423297 and 2223214423306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170996840 + ... + 171009840.

It is an arithmetic number, because the mean of its divisors is an integer number (51656542938).

Almost surely, 22223214423340 is an apocalyptic number.

2223214423340 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 2223214423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479514061024).

2223214423340 is an abundant number, since it is smaller than the sum of its proper divisors (2735813698708).

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

2223214423340 is a wasteful number, since it uses less digits than its factorization.

2223214423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2223214423340 its reverse (433244123222), we get a palindrome (2656458546562).

The spelling of 2223214423340 in words is "two trillion, two hundred twenty-three billion, two hundred fourteen million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 461 922 1091 1844 2182 2305 4364 4610 5455 7837 9220 10910 13001 15674 18547 21820 26002 31348 37094 39185 52004 65005 74188 78370 92735 130010 156740 185470 221017 260020 370940 442034 502951 884068 1005902 1105085 2011804 2210170 2514755 4420340 5029510 5993461 8550167 10059020 11986922 14184091 17100334 23973844 28368182 29967305 34200668 42750835 56736364 59934610 70920455 85501670 101888837 119869220 141840910 171003340 203777674 241129547 283681820 407555348 482259094 509444185 964518188 1018888370 1205647735 2037776740 2411295470 4822590940 6538865951 13077731902 26155463804 32694329755 65388659510 111160721167 130777319020 222321442334 444642884668 555803605835 1111607211670 2223214423340