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223242368 = 2717102593
BaseRepresentation
bin11010100111001…
…10100010000000
3120120001212221212
431103212202000
5424122223433
634052505252
75350346246
oct1523464200
9516055855
10223242368
11105018328
126291b228
133733449b
1421912796
15148ead48
hexd4e6880

223242368 has 32 divisors (see below), whose sum is σ = 470906460. Its totient is φ = 105054208.

The previous prime is 223242337. The next prime is 223242373. The reversal of 223242368 is 863242322.

It can be written as a sum of positive squares in 2 ways, for example, as 200279104 + 22963264 = 14152^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×2232423683 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49121 + ... + 53472.

Almost surely, 2223242368 is an apocalyptic number.

It is an amenable number.

223242368 is an abundant number, since it is smaller than the sum of its proper divisors (247664092).

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

223242368 is a wasteful number, since it uses less digits than its factorization.

223242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102624 (or 102612 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 223242368 is about 14941.2974001591. The cubic root of 223242368 is about 606.6323135293.

The spelling of 223242368 in words is "two hundred twenty-three million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 102593 205186 410372 820744 1641488 1744081 3282976 3488162 6565952 6976324 13131904 13952648 27905296 55810592 111621184 223242368