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2220334320 = 243559315601
BaseRepresentation
bin1000010001010111…
…1001110011110000
312201201221200002110
42010111321303300
514021401144240
61004153245320
7106010346621
oct20425716360
95651850073
102220334320
11a3a359046
1251b703840
13295000cb9
14170c51a48
15cedd6c80
hex84579cf0

2220334320 has 80 divisors (see below), whose sum is σ = 6895085472. Its totient is φ = 591052800.

The previous prime is 2220334313. The next prime is 2220334321. The reversal of 2220334320 is 234330222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×22203343204 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220334321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134520 + ... + 150120.

Almost surely, 22220334320 is an apocalyptic number.

2220334320 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 2220334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447542736).

2220334320 is an abundant number, since it is smaller than the sum of its proper divisors (4674751152).

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

2220334320 is a wasteful number, since it uses less digits than its factorization.

2220334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2220334320 is about 47120.4235974169. The cubic root of 2220334320 is about 1304.5862313247.

Adding to 2220334320 its reverse (234330222), we get a palindrome (2454664542).

The spelling of 2220334320 in words is "two billion, two hundred twenty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 9488 11860 14232 15601 17790 23720 28464 31202 35580 46803 47440 62404 71160 78005 93606 124808 142320 156010 187212 234015 249616 312020 374424 468030 624040 748848 936060 1248080 1872120 3744240 9251393 18502786 27754179 37005572 46256965 55508358 74011144 92513930 111016716 138770895 148022288 185027860 222033432 277541790 370055720 444066864 555083580 740111440 1110167160 2220334320