Search a number
-
+
30002208 = 253595297
BaseRepresentation
bin111001001110…
…0110000100000
32002110021021220
41302130300200
530140032313
62551015040
7513004665
oct162346040
962407256
1030002208
1115a32115
12a06a480
1362a5cb2
143dada6c
152979823
hex1c9cc20

30002208 has 48 divisors (see below), whose sum is σ = 80105760. Its totient is φ = 9829376.

The previous prime is 30002207. The next prime is 30002233. The reversal of 30002208 is 80220003.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (30002207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3016 + ... + 8312.

It is an arithmetic number, because the mean of its divisors is an integer number (1668870).

Almost surely, 230002208 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 30002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40052880).

30002208 is an abundant number, since it is smaller than the sum of its proper divisors (50103552).

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

30002208 is a wasteful number, since it uses less digits than its factorization.

30002208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30002208 is about 5477.4271332442. The cubic root of 30002208 is about 310.7308734855.

The spelling of 30002208 in words is "thirty million, two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5297 5664 10594 15891 21188 31782 42376 63564 84752 127128 169504 254256 312523 508512 625046 937569 1250092 1875138 2500184 3750276 5000368 7500552 10000736 15001104 30002208