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223054304 = 251135237
BaseRepresentation
bin11010100101110…
…00100111100000
3120112201022222112
431102320213200
5424100214204
634044454452
75345634044
oct1522704740
9515638875
10223054304
111049aa000
126284a428
13372999c5
14218a4024
15148b026e
hexd4b89e0

223054304 has 48 divisors (see below), whose sum is σ = 483111216. Its totient is φ = 101368960.

The previous prime is 223054303. The next prime is 223054327. The reversal of 223054304 is 403450322.

It is a self number, because there is not a number n which added to its sum of digits gives 223054304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223054301) 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, 39974 + ... + 45210.

It is an arithmetic number, because the mean of its divisors is an integer number (10064817).

Almost surely, 2223054304 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 223054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241555608).

223054304 is an abundant number, since it is smaller than the sum of its proper divisors (260056912).

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

223054304 is an equidigital number, since it uses as much as digits as its factorization.

223054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 223054304 is about 14935.0026447939. The cubic root of 223054304 is about 606.4619191257.

The spelling of 223054304 in words is "two hundred twenty-three million, fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5237 5324 10474 10648 20948 21296 41896 42592 57607 83792 115214 167584 230428 460856 633677 921712 1267354 1843424 2534708 5069416 6970447 10138832 13940894 20277664 27881788 55763576 111527152 223054304