Search a number
-
+
223443200 = 285234913
BaseRepresentation
bin11010101000101…
…11100100000000
3120120110002110002
431110113210000
5424200140300
634101055132
75352143621
oct1524274400
9516402402
10223443200
11105145202
12629b74a8
13373a4a16
1421965a48
151493a5d5
hexd517900

223443200 has 54 divisors (see below), whose sum is σ = 553072674. Its totient is φ = 89374720.

The previous prime is 223443197. The next prime is 223443203. The reversal of 223443200 is 2344322.

It is an interprime number because it is at equal distance from previous prime (223443197) and next prime (223443203).

It can be written as a sum of positive squares in 3 ways, for example, as 12845056 + 210598144 = 3584^2 + 14512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (223443203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11057 + ... + 23856.

Almost surely, 2223443200 is an apocalyptic number.

223443200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223443200 is an abundant number, since it is smaller than the sum of its proper divisors (329629474).

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

223443200 is an equidigital number, since it uses as much as digits as its factorization.

223443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34939 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 223443200 is about 14948.0165908391. The cubic root of 223443200 is about 606.8141706837.

Adding to 223443200 its reverse (2344322), we get a palindrome (225787522).

The spelling of 223443200 in words is "two hundred twenty-three million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 34913 69826 139652 174565 279304 349130 558608 698260 872825 1117216 1396520 1745650 2234432 2793040 3491300 4468864 5586080 6982600 8937728 11172160 13965200 22344320 27930400 44688640 55860800 111721600 223443200