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223738368 = 293720809
BaseRepresentation
bin11010101010111…
…11101000000000
3120121000002100020
431111133220000
5424234111433
634111253440
75354513310
oct1525375000
9517002306
10223738368
11105326a47
1262b1a280
1337479189
1421a01440
1514997cb3
hexd55fa00

223738368 has 80 divisors (see below), whose sum is σ = 681236160. Its totient is φ = 63922176.

The previous prime is 223738367. The next prime is 223738373. The reversal of 223738368 is 863837322.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (223738363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348 + ... + 21156.

It is an arithmetic number, because the mean of its divisors is an integer number (8515452).

Almost surely, 2223738368 is an apocalyptic number.

223738368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340618080).

223738368 is an abundant number, since it is smaller than the sum of its proper divisors (457497792).

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

223738368 is an equidigital number, since it uses as much as digits as its factorization.

223738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20821 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 223738368 is about 14957.8864817193. The cubic root of 223738368 is about 607.0812531966.

The spelling of 223738368 in words is "two hundred twenty-three million, seven hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 20809 41618 62427 83236 124854 145663 166472 249708 291326 332944 436989 499416 582652 665888 873978 998832 1165304 1331776 1747956 1997664 2330608 2663552 3495912 3995328 4661216 5327104 6991824 7990656 9322432 10654208 13983648 15981312 18644864 27967296 31962624 37289728 55934592 74579456 111869184 223738368