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225689008 = 24174431873
BaseRepresentation
bin11010111001110…
…11110110110000
3120201200012010011
431130323312300
5430234022013
634221144304
75410216306
oct1534736660
9521605104
10225689008
11106439546
12636bb094
13379accbc
1421d8c276
1514c30c3d
hexd73bdb0

225689008 has 40 divisors (see below), whose sum is σ = 464287248. Its totient is φ = 105910272.

The previous prime is 225688951. The next prime is 225689039. The reversal of 225689008 is 800986522.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119560 + ... + 121432.

Almost surely, 2225689008 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 225689008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232143624).

225689008 is an abundant number, since it is smaller than the sum of its proper divisors (238598240).

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

225689008 is a wasteful number, since it uses less digits than its factorization.

225689008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 225689008 is about 15022.9493775357. The cubic root of 225689008 is about 608.8404092524.

The spelling of 225689008 in words is "two hundred twenty-five million, six hundred eighty-nine thousand, eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 443 886 1772 1873 3544 3746 7088 7492 7531 14984 15062 29968 30124 31841 60248 63682 120496 127364 254728 509456 829739 1659478 3318956 6637912 13275824 14105563 28211126 56422252 112844504 225689008