Search a number
-
+
224141022 = 232717269389
BaseRepresentation
bin11010101110000…
…01111011011110
3120121202112200100
431113001323132
5424340003042
634124041530
75361111240
oct1527017336
9517675610
10224141022
11105581516
12630932a6
133758a531
1421aa8090
1514a2724c
hexd5c1ede

224141022 has 96 divisors (see below), whose sum is σ = 591364800. Its totient is φ = 59894784.

The previous prime is 224141017. The next prime is 224141033. The reversal of 224141022 is 220141422.

224141022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224140986 and 224141004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576004 + ... + 576392.

It is an arithmetic number, because the mean of its divisors is an integer number (6160050).

Almost surely, 2224141022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224141022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295682400).

224141022 is an abundant number, since it is smaller than the sum of its proper divisors (367223778).

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

224141022 is a wasteful number, since it uses less digits than its factorization.

224141022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224141022 is about 14971.3400201852. The cubic root of 224141022 is about 607.4452158086.

Adding to 224141022 its reverse (220141422), we get a palindrome (444282444).

It can be divided in two parts, 22414 and 1022, that added together give a triangular number (23436 = T216).

The spelling of 224141022 in words is "two hundred twenty-four million, one hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 269 306 357 389 538 714 778 807 1071 1167 1614 1883 2142 2334 2421 2723 3501 3766 4573 4842 5446 5649 6613 7002 8169 9146 11298 13226 13719 16338 16947 19839 24507 27438 32011 33894 39678 41157 46291 49014 59517 64022 82314 92582 96033 104641 119034 138873 192066 209282 277746 288099 313923 416619 576198 627846 732487 833238 941769 1464974 1778897 1883538 2197461 3557794 4394922 5336691 6592383 10673382 12452279 13184766 16010073 24904558 32020146 37356837 74713674 112070511 224141022