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223144141441322 = 219339713877104933
BaseRepresentation
bin110010101111001011001011…
…010010001100100100101010
31002021002101000212220201220002
4302233023023102030210222
5213221443200202110242
62110331000422303002
765000426562542003
oct6257131322144452
91067071025821802
10223144141441322
1165111998540382
122103a9b5587a62
13976852c97959a
143d1633c4181aa
151abe757c4e432
hexcaf2cb48c92a

223144141441322 has 32 divisors (see below), whose sum is σ = 337325496309072. Its totient is φ = 110705361997824.

The previous prime is 223144141441313. The next prime is 223144141441343.

223144141441322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 46215808764841 + 176928332676481 = 6798221^2 + 13301441^2 .

It is a super-3 number, since 3×2231441414413223 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126486768 + ... + 2126591700.

Almost surely, 2223144141441322 is an apocalyptic number.

223144141441322 is a deficient number, since it is larger than the sum of its proper divisors (114181354867750).

223144141441322 is a wasteful number, since it uses less digits than its factorization.

223144141441322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119402.

The product of its digits is 147456, while the sum is 38.

The spelling of 223144141441322 in words is "two hundred twenty-three trillion, one hundred forty-four billion, one hundred forty-one million, four hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 193 386 397 794 13877 27754 76621 104933 153242 209866 2678261 5356522 5509169 11018338 20252069 40504138 41658401 83316802 1063269617 1456155241 2126539234 2912310482 8040071393 16080142786 281037961513 562075923026 578093630677 1156187261354 111572070720661 223144141441322