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2220807340 = 225374763853
BaseRepresentation
bin1000010001011110…
…1101010010101100
312201202211200221201
42010113231102230
514022011313330
61004211335244
7106014356653
oct20427552254
95652750851
102220807340
11a3a651474
1251b8b1524
132951383ab
14170d3619a
15cee7beca
hex845ed4ac

2220807340 has 48 divisors (see below), whose sum is σ = 4891727232. Its totient is φ = 845911296.

The previous prime is 2220807319. The next prime is 2220807361. The reversal of 2220807340 is 437080222.

It is an interprime number because it is at equal distance from previous prime (2220807319) and next prime (2220807361).

It is a junction number, because it is equal to n+sod(n) for n = 2220807299 and 2220807308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2854 + ... + 66706.

It is an arithmetic number, because the mean of its divisors is an integer number (101910984).

Almost surely, 22220807340 is an apocalyptic number.

2220807340 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 2220807340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445863616).

2220807340 is an abundant number, since it is smaller than the sum of its proper divisors (2670919892).

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

2220807340 is a wasteful number, since it uses less digits than its factorization.

2220807340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63946 (or 63944 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2220807340 is about 47125.4425973911. The cubic root of 2220807340 is about 1304.6788677589.

Adding to 2220807340 its reverse (437080222), we get a palindrome (2657887562).

The spelling of 2220807340 in words is "two billion, two hundred twenty million, eight hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 3478 6956 8695 17390 34780 63853 127706 255412 319265 638530 1277060 2362561 3001091 4725122 6002182 9450244 11812805 12004364 15005455 23625610 30010910 47251220 60021820 111040367 222080734 444161468 555201835 1110403670 2220807340