Search a number
-
+
2224341042 = 23711113137311
BaseRepresentation
bin1000010010010100…
…1100000000110010
312202000111020021120
42010211030000302
514023412403132
61004415203110
7106056405210
oct20445140062
95660436246
102224341042
11a41645390
12520b16496
13295aa4941
141715b5cb0
15d042902c
hex8494c032

2224341042 has 128 divisors (see below), whose sum is σ = 5654458368. Its totient is φ = 566630400.

The previous prime is 2224340933. The next prime is 2224341043. The reversal of 2224341042 is 2401434222.

It is a super-2 number, since 2×22243410422 = 9895386142251291528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2224341043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7152067 + ... + 7152377.

It is an arithmetic number, because the mean of its divisors is an integer number (44175456).

Almost surely, 22224341042 is an apocalyptic number.

2224341042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224341042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827229184).

2224341042 is an abundant number, since it is smaller than the sum of its proper divisors (3430117326).

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

2224341042 is a wasteful number, since it uses less digits than its factorization.

2224341042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2224341042 is about 47162.9202022097. The cubic root of 2224341042 is about 1305.3704935932.

Adding to 2224341042 its reverse (2401434222), we get a palindrome (4625775264).

The spelling of 2224341042 in words is "two billion, two hundred twenty-four million, three hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 137 154 226 231 274 311 339 411 462 622 678 791 822 933 959 1243 1507 1582 1866 1918 2177 2373 2486 2877 3014 3421 3729 4354 4521 4746 5754 6531 6842 7458 8701 9042 10263 10549 13062 15481 17402 20526 21098 23947 26103 30962 31647 35143 42607 46443 47894 52206 63294 70286 71841 85214 92886 105429 108367 127821 143682 170291 210858 216734 246001 255642 298249 325101 340582 386573 468677 492002 510873 596498 650202 738003 773146 894747 937354 1021746 1159719 1192037 1406031 1476006 1789494 2319438 2384074 2706011 2812062 3280739 3576111 4814591 5412022 6561478 7152222 8118033 9629182 9842217 14443773 16236066 19684434 28887546 33702137 52960501 67404274 101106411 105921002 158881503 202212822 317763006 370723507 741447014 1112170521 2224341042