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223255312 = 24743151307
BaseRepresentation
bin11010100111010…
…01101100010000
3120120002112201021
431103221230100
5424123132222
634053045224
75350432060
oct1523515420
9516075637
10223255312
11105027025
1262926814
133733a347
14219173a0
15148eeac7
hexd4e9b10

223255312 has 80 divisors (see below), whose sum is σ = 510856192. Its totient is φ = 92534400.

The previous prime is 223255261. The next prime is 223255321. The reversal of 223255312 is 213552322.

223255312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232553123 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727063 + ... + 727369.

Almost surely, 2223255312 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 223255312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255428096).

223255312 is an abundant number, since it is smaller than the sum of its proper divisors (287600880).

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

223255312 is a wasteful number, since it uses less digits than its factorization.

223255312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 223255312 is about 14941.7305557288. The cubic root of 223255312 is about 606.6440378523.

The spelling of 223255312 in words is "two hundred twenty-three million, two hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 151 172 301 302 307 344 602 604 614 688 1057 1204 1208 1228 2114 2149 2408 2416 2456 4228 4298 4816 4912 6493 8456 8596 12986 13201 16912 17192 25972 26402 34384 45451 46357 51944 52804 90902 92407 92714 103888 105608 181804 184814 185428 211216 324499 363608 369628 370856 648998 727216 739256 741712 1297996 1478512 1993351 2595992 3986702 5191984 7973404 13953457 15946808 27906914 31893616 55813828 111627656 223255312