Search a number
-
+
223085312 = 284718541
BaseRepresentation
bin11010100110000…
…00001100000000
3120112202220111222
431103000030000
5424102212222
634045254212
75346123332
oct1523001400
9515686458
10223085312
11104a2032a
1262864368
13372aab58
14218b1452
15148b9542
hexd4c0300

223085312 has 36 divisors (see below), whose sum is σ = 454798176. Its totient is φ = 109163520.

The previous prime is 223085311. The next prime is 223085323. The reversal of 223085312 is 213580322.

It is a super-3 number, since 3×2230853123 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223085311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2762 + ... + 21302.

Almost surely, 2223085312 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 223085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227399088).

223085312 is an abundant number, since it is smaller than the sum of its proper divisors (231712864).

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

223085312 is an equidigital number, since it uses as much as digits as its factorization.

223085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18604 (or 18590 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 223085312 is about 14936.0407069611. The cubic root of 223085312 is about 606.4900203541.

The spelling of 223085312 in words is "two hundred twenty-three million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 3008 6016 12032 18541 37082 74164 148328 296656 593312 871427 1186624 1742854 2373248 3485708 4746496 6971416 13942832 27885664 55771328 111542656 223085312