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225387008 = 297115717
BaseRepresentation
bin11010110111100…
…10001000000000
3120201002211211222
431123302020000
5430144341013
634210454212
75404520660
oct1533621000
9521084758
10225387008
11106252660
1263594368
13379056c2
1421d101a0
1514bc1508
hexd6f2200

225387008 has 80 divisors (see below), whose sum is σ = 561553344. Its totient is φ = 87797760.

The previous prime is 225386999. The next prime is 225387023. The reversal of 225387008 is 800783522.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36566 + ... + 42282.

Almost surely, 2225387008 is an apocalyptic number.

225387008 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 225387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280776672).

225387008 is an abundant number, since it is smaller than the sum of its proper divisors (336166336).

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

225387008 is an equidigital number, since it uses as much as digits as its factorization.

225387008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 225387008 is about 15012.8947242029. The cubic root of 225387008 is about 608.5687199341.

The spelling of 225387008 in words is "two hundred twenty-five million, three hundred eighty-seven thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 5717 9856 11434 19712 22868 39424 40019 45736 62887 80038 91472 125774 160076 182944 251548 320152 365888 440209 503096 640304 731776 880418 1006192 1280608 1463552 1760836 2012384 2561216 2927104 3521672 4024768 5122432 7043344 8049536 10244864 14086688 16099072 20489728 28173376 32198144 56346752 112693504 225387008