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223014141410322 = 233753107177141281
BaseRepresentation
bin110010101101010010000110…
…101011011011110000010010
31002020121221110221220220202010
4302231102012223123300102
5213212330430200112242
62110151140542403350
764655145215525163
oct6255220653336022
91066557427826663
10223014141410322
116507184794aa29
1221019774890556
1397591b2a93912
143d0dd28d4176a
151abb199dd189c
hexcad486adbc12

223014141410322 has 64 divisors (see below), whose sum is σ = 471088108220544. Its totient is φ = 70300996945920.

The previous prime is 223014141410311. The next prime is 223014141410339.

It is a happy number.

223014141410322 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 223014141410322.

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 31 ways as a sum of consecutive naturals, for example, 87311679 + ... + 89829602.

It is an arithmetic number, because the mean of its divisors is an integer number (7360751690946).

Almost surely, 2223014141410322 is an apocalyptic number.

223014141410322 is an abundant number, since it is smaller than the sum of its proper divisors (248073966810222).

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

223014141410322 is a wasteful number, since it uses less digits than its factorization.

223014141410322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177141483.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 223014141410322 in words is "two hundred twenty-three trillion, fourteen billion, one hundred forty-one million, four hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 53 74 106 107 111 159 214 222 318 321 642 1961 3922 3959 5671 5883 7918 11342 11766 11877 17013 23754 34026 209827 419654 629481 1258962 177141281 354282562 531423843 1062847686 6554227397 9388487893 13108454794 18776975786 18954117067 19662682191 28165463679 37908234134 39325364382 56330927358 56862351201 113724702402 347374052041 694748104082 701302331479 1004568204551 1042122156123 1402604662958 2009136409102 2084244312246 2103906994437 3013704613653 4207813988874 6027409227306 37169023568387 74338047136774 111507070705161 223014141410322