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223506361 = 13174572213
BaseRepresentation
bin11010101001001…
…10111110111001
3120120120022002101
431110212332321
5424204200421
634102303401
75352526021
oct1524467671
9516508071
10223506361
11105188701
1262a27b61
13373c76b0
1421980a81
151494e191
hexd526fb9

223506361 has 16 divisors (see below), whose sum is σ = 255531024. Its totient is φ = 193665024.

The previous prime is 223506343. The next prime is 223506377. The reversal of 223506361 is 163605322.

It can be written as a sum of positive squares in 8 ways, for example, as 52707600 + 170798761 = 7260^2 + 13069^2 .

It is a cyclic number.

It is not a de Polignac number, because 223506361 - 211 = 223504313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223506331) 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 15 ways as a sum of consecutive naturals, for example, 99891 + ... + 102103.

It is an arithmetic number, because the mean of its divisors is an integer number (15970689).

Almost surely, 2223506361 is an apocalyptic number.

It is an amenable number.

223506361 is a deficient number, since it is larger than the sum of its proper divisors (32024663).

223506361 is a wasteful number, since it uses less digits than its factorization.

223506361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 223506361 is about 14950.1291298771. The cubic root of 223506361 is about 606.8713416322.

The spelling of 223506361 in words is "two hundred twenty-three million, five hundred six thousand, three hundred sixty-one".

Divisors: 1 13 17 221 457 2213 5941 7769 28769 37621 100997 489073 1011341 13147433 17192797 223506361