Search a number
-
+
2223020320 = 2551932373
BaseRepresentation
bin1000010010000000…
…1001100100100000
312201221000010120221
42010200021210200
514023043122240
61004331012424
7106042234543
oct20440114440
95657003527
102223020320
11a40923084
1252059a114
13295731751
1417135085a
15d0267a4a
hex84809920

2223020320 has 72 divisors (see below), whose sum is σ = 5293391796. Its totient is φ = 882229248.

The previous prime is 2223020227. The next prime is 2223020341. The reversal of 2223020320 is 230203222.

It can be written as a sum of positive squares in 6 ways, for example, as 447914896 + 1775105424 = 21164^2 + 42132^2 .

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 = 2223020294 and 2223020303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5959654 + ... + 5960026.

Almost surely, 22223020320 is an apocalyptic number.

2223020320 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 2223020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646695898).

2223020320 is an abundant number, since it is smaller than the sum of its proper divisors (3070371476).

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

2223020320 is an equidigital number, since it uses as much as digits as its factorization.

2223020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2223020320 is about 47148.9164244524. The cubic root of 2223020320 is about 1305.1120840495.

Adding to 2223020320 its reverse (230203222), we get a palindrome (2453223542).

It can be divided in two parts, 2 and 223020320, that added together give a palindrome (223020322).

The spelling of 2223020320 in words is "two billion, two hundred twenty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 373 386 746 772 965 1492 1544 1865 1930 2984 3088 3730 3860 5968 6176 7460 7720 11936 14920 15440 29840 30880 37249 59680 71989 74498 143978 148996 186245 287956 297992 359945 372490 575912 595984 719890 744980 1151824 1191968 1439780 1489960 2303648 2879560 2979920 5759120 5959840 11518240 13893877 27787754 55575508 69469385 111151016 138938770 222302032 277877540 444604064 555755080 1111510160 2223020320