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224254452422 = 272112131454743
BaseRepresentation
bin1101000011011010011…
…0110110001011000110
3210102211200022112022002
43100312212312023012
512133233114434142
6251004315105302
722126143252200
oct3206646661306
9712750275262
10224254452422
1187118879300
1237566442232
13181bb259680
14abd5435770
155c77978a32
hex34369b62c6

224254452422 has 72 divisors (see below), whose sum is σ = 463193399088. Its totient is φ = 80650896480.

The previous prime is 224254452397. The next prime is 224254452427.

224254452422 is nontrivially palindromic in base 10.

224254452422 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-3 number, since 3×2242544524223 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224254452427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 573218 + ... + 881525.

It is an arithmetic number, because the mean of its divisors is an integer number (6433241654).

Almost surely, 2224254452422 is an apocalyptic number.

224254452422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224254452422 is an abundant number, since it is smaller than the sum of its proper divisors (238938946666).

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

224254452422 is a wasteful number, since it uses less digits than its factorization.

224254452422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454794 (or 1454776 counting only the distinct ones).

The product of its digits is 409600, while the sum is 38.

It can be divided in two parts, 224254 and 452422, that added together give a palindrome (676676).

The spelling of 224254452422 in words is "two hundred twenty-four billion, two hundred fifty-four million, four hundred fifty-two thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 182 242 286 539 637 847 1001 1078 1274 1573 1694 2002 3146 5929 7007 11011 11858 14014 22022 77077 154154 1454743 2909486 10183201 16002173 18911659 20366402 32004346 37823318 71282407 112015211 132381613 142564814 176023903 208028249 224030422 264763226 352047806 416056498 784106477 926671291 1232167321 1456197743 1568212954 1853342582 2288310739 2464334642 2912395486 4576621478 8625171247 10193384201 16018175173 17250342494 20386768402 32036350346 112127226211 224254452422