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223341312 = 283436763
BaseRepresentation
bin11010100111111…
…10101100000000
3120120020220200110
431103332230000
5424133410222
634054551320
75351240565
oct1523765400
9516226613
10223341312
111050856a7
1262968540
133736a52c
142193a86c
151491a30c
hexd4feb00

223341312 has 72 divisors (see below), whose sum is σ = 608327104. Its totient is φ = 72705024.

The previous prime is 223341277. The next prime is 223341323. The reversal of 223341312 is 213143322.

223341312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29643 + ... + 36405.

Almost surely, 2223341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304163552).

223341312 is an abundant number, since it is smaller than the sum of its proper divisors (384985792).

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

223341312 is an equidigital number, since it uses as much as digits as its factorization.

223341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6811 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 223341312 is about 14944.6081246716. The cubic root of 223341312 is about 606.7219228072.

Adding to 223341312 its reverse (213143322), we get a palindrome (436484634).

The spelling of 223341312 in words is "two hundred twenty-three million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 5504 6763 8256 11008 13526 16512 20289 27052 33024 40578 54104 81156 108208 162312 216416 290809 324624 432832 581618 649248 865664 872427 1163236 1298496 1731328 1744854 2326472 2596992 3489708 4652944 5193984 6979416 9305888 13958832 18611776 27917664 37223552 55835328 74447104 111670656 223341312