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223315056 = 2435193023
BaseRepresentation
bin11010100111110…
…00010001110000
3120120012120200000
431103320101300
5424132040211
634054230000
75351101206
oct1523702160
9516176600
10223315056
111050679a8
1262955300
133735b5b3
1421931076
1514912656
hexd4f8470

223315056 has 120 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 70497216.

The previous prime is 223315033. The next prime is 223315061. The reversal of 223315056 is 650513322.

It is a super-2 number, since 2×2233150562 = 99739228472566272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72361 + ... + 75383.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2223315056 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 223315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

223315056 is an abundant number, since it is smaller than the sum of its proper divisors (459141264).

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

223315056 is a wasteful number, since it uses less digits than its factorization.

223315056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 223315056 is about 14943.7296549422. The cubic root of 223315056 is about 606.6981464699.

Adding to 223315056 its reverse (650513322), we get a palindrome (873828378).

The spelling of 223315056 in words is "two hundred twenty-three million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3023 3078 3888 4104 4617 6046 6156 8208 9069 9234 12092 12312 18138 18468 24184 24624 27207 36276 36936 48368 54414 57437 72552 73872 81621 108828 114874 145104 163242 172311 217656 229748 244863 326484 344622 435312 459496 489726 516933 652968 689244 734589 918992 979452 1033866 1305936 1378488 1469178 1550799 1958904 2067732 2756976 2938356 3101598 3917808 4135464 4652397 5876712 6203196 8270928 9304794 11753424 12406392 13957191 18609588 24812784 27914382 37219176 55828764 74438352 111657528 223315056