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30223008 = 2532176173
BaseRepresentation
bin111001101001…
…0101010100000
32002212111011200
41303102222200
530214114013
62555441200
7514614504
oct163225240
962774150
1030223008
1116072aa2
12a156200
13635264a
14402a304
1529bee73
hex1cd2aa0

30223008 has 72 divisors (see below), whose sum is σ = 91017108. Its totient is φ = 9480192.

The previous prime is 30223001. The next prime is 30223009. The reversal of 30223008 is 80032203.

It can be written as a sum of positive squares in 2 ways, for example, as 29030544 + 1192464 = 5388^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30223001) 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 11 ways as a sum of consecutive naturals, for example, 1810 + ... + 7982.

Almost surely, 230223008 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 30223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45508554).

30223008 is an abundant number, since it is smaller than the sum of its proper divisors (60794100).

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

30223008 is a wasteful number, since it uses less digits than its factorization.

30223008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30223008 is about 5497.5456341899. The cubic root of 30223008 is about 311.4912814347.

The spelling of 30223008 in words is "thirty million, two hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 6173 12346 18519 24692 37038 49384 55557 74076 98768 104941 111114 148152 197536 209882 222228 296304 314823 419764 444456 592608 629646 839528 888912 944469 1259292 1679056 1777824 1888938 2518584 3358112 3777876 5037168 7555752 10074336 15111504 30223008