Search a number
-
+
2213444226 = 237471139923
BaseRepresentation
bin1000001111101110…
…0111101010000010
312201020222121122210
42003323213222002
514013120203401
61003345442550
7105564652110
oct20373475202
95636877583
102213444226
11a36482454
12519340456
1329375ab16
1416dd7aab0
15ce4c54d6
hex83ee7a82

2213444226 has 64 divisors (see below), whose sum is σ = 5213196288. Its totient is φ = 613417728.

The previous prime is 2213444209. The next prime is 2213444263. The reversal of 2213444226 is 6224443122.

2213444226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22134442262 = 9798670683225478152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213444193 and 2213444202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218101 + ... + 228023.

It is an arithmetic number, because the mean of its divisors is an integer number (81456192).

Almost surely, 22213444226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213444226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606598144).

2213444226 is an abundant number, since it is smaller than the sum of its proper divisors (2999752062).

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

2213444226 is a wasteful number, since it uses less digits than its factorization.

2213444226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095.

The product of its digits is 18432, while the sum is 30.

The square root of 2213444226 is about 47047.2552440629. The cubic root of 2213444226 is about 1303.2353783448.

Adding to 2213444226 its reverse (6224443122), we get a palindrome (8437887348).

The spelling of 2213444226 in words is "two billion, two hundred thirteen million, four hundred forty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 47 94 113 141 226 282 329 339 658 678 791 987 1582 1974 2373 4746 5311 9923 10622 15933 19846 29769 31866 37177 59538 69461 74354 111531 138922 208383 223062 416766 466381 932762 1121299 1399143 2242598 2798286 3264667 3363897 6529334 6727794 7849093 9794001 15698186 19588002 23547279 47094558 52701053 105402106 158103159 316206318 368907371 737814742 1106722113 2213444226