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224982954 = 23377183101
BaseRepresentation
bin11010110100011…
…11011110101010
3120200100022121000
431122033132222
5430043423304
634154055430
75401215660
oct1532173652
9520308530
10224982954
11105aa7029
126341a576
13377c3811
1421c46c30
1514b41939
hexd68f7aa

224982954 has 128 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 61992000.

The previous prime is 224982929. The next prime is 224982959. The reversal of 224982954 is 459289422.

It is a super-2 number, since 2×2249829542 = 101234659181132232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224982959) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2227504 + ... + 2227604.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2224982954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224982954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

224982954 is an abundant number, since it is smaller than the sum of its proper divisors (367237206).

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

224982954 is a wasteful number, since it uses less digits than its factorization.

224982954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 224982954 is about 14999.4317892379. The cubic root of 224982954 is about 608.2048395820.

It can be divided in two parts, 22498 and 2954, that added together give a palindrome (25452).

The spelling of 224982954 in words is "two hundred twenty-four million, nine hundred eighty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 83 101 126 142 166 189 202 213 249 303 378 426 497 498 581 606 639 707 747 909 994 1162 1278 1414 1491 1494 1743 1818 1917 2121 2241 2727 2982 3486 3834 4242 4473 4482 5229 5454 5893 6363 7171 8383 8946 10458 11786 12726 13419 14342 15687 16766 17679 19089 21513 25149 26838 31374 35358 38178 41251 43026 50197 50298 53037 58681 64539 75447 82502 100394 106074 117362 123753 129078 150591 150894 159111 176043 193617 226341 247506 301182 318222 352086 371259 387234 451773 452682 528129 595193 742518 903546 1056258 1113777 1190386 1355319 1584387 1785579 2227554 2710638 3168774 3571158 4166351 5356737 8332702 10713474 12499053 16070211 24998106 32140422 37497159 74994318 112491477 224982954