Search a number
-
+
2220141340 = 225374316961
BaseRepresentation
bin1000010001010100…
…1010101100011100
312201201120212101001
42010111022230130
514021324010330
61004145200044
7106005614164
oct20425125434
95651525331
102220141340
11a3a23705a
1251b630024
13294c64201
14170c015a4
15ced999ca
hex8454ab1c

2220141340 has 48 divisors (see below), whose sum is σ = 4800104064. Its totient is φ = 861926400.

The previous prime is 2220141323. The next prime is 2220141347. The reversal of 2220141340 is 431410222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220141347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315460 + ... + 322420.

It is an arithmetic number, because the mean of its divisors is an integer number (100002168).

Almost surely, 22220141340 is an apocalyptic number.

2220141340 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 2220141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400052032).

2220141340 is an abundant number, since it is smaller than the sum of its proper divisors (2579962724).

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

2220141340 is a wasteful number, since it uses less digits than its factorization.

2220141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2220141340 is about 47118.3758209045. The cubic root of 2220141340 is about 1304.5484342622.

Adding to 2220141340 its reverse (431410222), we get a palindrome (2651551562).

The spelling of 2220141340 in words is "two billion, two hundred twenty million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 431 740 862 1724 2155 4310 6961 8620 13922 15947 27844 31894 34805 63788 69610 79735 139220 159470 257557 318940 515114 1030228 1287785 2575570 3000191 5151140 6000382 12000764 15000955 30001910 60003820 111007067 222014134 444028268 555035335 1110070670 2220141340