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223428608 = 214131049
BaseRepresentation
bin11010101000101…
…00000000000000
3120120102100102122
431110110000000
5424144203413
634100503412
75352053234
oct1524240000
9516370378
10223428608
11105135247
12629aab68
133739b1a0
14219605c4
1514936108
hexd514000

223428608 has 60 divisors (see below), whose sum is σ = 481674900. Its totient is φ = 103022592.

The previous prime is 223428599. The next prime is 223428617. The reversal of 223428608 is 806824322.

223428608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223428599) and next prime (223428617).

It can be written as a sum of positive squares in 2 ways, for example, as 121176064 + 102252544 = 11008^2 + 10112^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212468 + ... + 213516.

It is an arithmetic number, because the mean of its divisors is an integer number (8027915).

Almost surely, 2223428608 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 223428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240837450).

223428608 is an abundant number, since it is smaller than the sum of its proper divisors (258246292).

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

223428608 is an equidigital number, since it uses as much as digits as its factorization.

223428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 223428608 is about 14947.5284913594. The cubic root of 223428608 is about 606.8009610251.

The spelling of 223428608 in words is "two hundred twenty-three million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1049 1664 2048 2098 3328 4096 4196 6656 8192 8392 13312 13637 16384 16784 26624 27274 33568 53248 54548 67136 106496 109096 134272 212992 218192 268544 436384 537088 872768 1074176 1745536 2148352 3491072 4296704 6982144 8593408 13964288 17186816 27928576 55857152 111714304 223428608