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225030008 = 23743113827
BaseRepresentation
bin11010110100110…
…10111101111000
3120200102201010202
431122122331320
5430101430013
634155101332
75401503110
oct1532327570
9520381122
10225030008
11106029415
1263441848
133780c068
1421c5a040
1514b50858
hexd69af78

225030008 has 64 divisors (see below), whose sum is σ = 498389760. Its totient is φ = 93252096.

The previous prime is 225030007. The next prime is 225030011. The reversal of 225030008 is 800030522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225030007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271691 + ... + 272517.

It is an arithmetic number, because the mean of its divisors is an integer number (7787340).

Almost surely, 2225030008 is an apocalyptic number.

225030008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225030008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249194880).

225030008 is an abundant number, since it is smaller than the sum of its proper divisors (273359752).

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

225030008 is a wasteful number, since it uses less digits than its factorization.

225030008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225030008 is about 15001.0002333178. Note that the first 3 decimals coincide. The cubic root of 225030008 is about 608.2472375728.

The spelling of 225030008 in words is "two hundred twenty-five million, thirty thousand, eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 113 172 226 301 344 452 602 791 827 904 1204 1582 1654 2408 3164 3308 4859 5789 6328 6616 9718 11578 19436 23156 34013 35561 38872 46312 68026 71122 93451 136052 142244 186902 248927 272104 284488 373804 497854 654157 747608 995708 1308314 1991416 2616628 4018393 5233256 8036786 16073572 28128751 32147144 56257502 112515004 225030008