Search a number
-
+
2220315320 = 2354310112781
BaseRepresentation
bin1000010001010111…
…0101001010111000
312201201220201000202
42010111311022320
514021400042240
61004153021332
7106010240336
oct20425651270
95651821022
102220315320
11a3a345843
1251b6b4848
13294cc5462
14170c48b56
15cedd1315
hex845752b8

2220315320 has 64 divisors (see below), whose sum is σ = 5162905440. Its totient is φ = 858816000.

The previous prime is 2220315299. The next prime is 2220315329. The reversal of 2220315320 is 235130222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220315292 and 2220315301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220315329) 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, 167330 + ... + 180110.

Almost surely, 22220315320 is an apocalyptic number.

2220315320 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 2220315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581452720).

2220315320 is an abundant number, since it is smaller than the sum of its proper divisors (2942590120).

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

2220315320 is a wasteful number, since it uses less digits than its factorization.

2220315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2220315320 is about 47120.2219858948. The cubic root of 2220315320 is about 1304.5825100819.

Adding to 2220315320 its reverse (235130222), we get a palindrome (2455445542).

The spelling of 2220315320 in words is "two billion, two hundred twenty million, three hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 172 202 215 344 404 430 505 808 860 1010 1720 2020 4040 4343 8686 12781 17372 21715 25562 34744 43430 51124 63905 86860 102248 127810 173720 255620 511240 549583 1099166 1290881 2198332 2581762 2747915 4396664 5163524 5495830 6454405 10327048 10991660 12908810 21983320 25817620 51635240 55507883 111015766 222031532 277539415 444063064 555078830 1110157660 2220315320