Search a number
-
+
2220313120 = 25513876957
BaseRepresentation
bin1000010001010111…
…0100101000100000
312201201220121000021
42010111310220200
514021400004440
61004153003224
7106010231044
oct20425645040
95651817007
102220313120
11a3a344123
1251b6b3514
13294cc445c
14170c48024
15cedd084a
hex84574a20

2220313120 has 24 divisors (see below), whose sum is σ = 5245490124. Its totient is φ = 888125184.

The previous prime is 2220313111. The next prime is 2220313133. The reversal of 2220313120 is 213130222.

It can be written as a sum of positive squares in 2 ways, for example, as 2183879824 + 36433296 = 46732^2 + 6036^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2220313094 and 2220313103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6938319 + ... + 6938638.

Almost surely, 22220313120 is an apocalyptic number.

2220313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220313120 is an abundant number, since it is smaller than the sum of its proper divisors (3025177004).

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

2220313120 is a wasteful number, since it uses less digits than its factorization.

2220313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876972 (or 13876964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2220313120 is about 47120.1986413470. The cubic root of 2220313120 is about 1304.5820791998.

Adding to 2220313120 its reverse (213130222), we get a palindrome (2433443342).

The spelling of 2220313120 in words is "two billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13876957 27753914 55507828 69384785 111015656 138769570 222031312 277539140 444062624 555078280 1110156560 2220313120