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223209664249 = 11213449316037
BaseRepresentation
bin1100111111100001010…
…1010010111011111001
3210100010212100210100211
43033320111102323321
512124113133223444
6250312513431121
722061225561425
oct3177025227371
9710125323324
10223209664249
1186732044500
123731456b4a1
131808296a410
14ab36789b85
155c15d9bc34
hex33f8552ef9

223209664249 has 24 divisors (see below), whose sum is σ = 264808240200. Its totient is φ = 186891048960.

The previous prime is 223209664241. The next prime is 223209664259. The reversal of 223209664249 is 942466902322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3778315024 + 219431349225 = 61468^2 + 468435^2 .

It is not a de Polignac number, because 223209664249 - 23 = 223209664241 is a prime.

It is a super-3 number, since 3×2232096642493 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223209664241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 548259 + ... + 864295.

It is an arithmetic number, because the mean of its divisors is an integer number (11033676675).

Almost surely, 2223209664249 is an apocalyptic number.

It is an amenable number.

223209664249 is a deficient number, since it is larger than the sum of its proper divisors (41598575951).

223209664249 is a wasteful number, since it uses less digits than its factorization.

223209664249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316521 (or 316510 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 223209664249 in words is "two hundred twenty-three billion, two hundred nine million, six hundred sixty-four thousand, two hundred forty-nine".

Divisors: 1 11 13 121 143 449 1573 4939 5837 54329 64207 316037 706277 3476407 4108481 38240477 45193291 141900613 497126201 1560906743 1844707969 17169974173 20291787659 223209664249