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225002688 = 2634312719
BaseRepresentation
bin11010110100101…
…00010011000000
3120200101022122220
431122110103000
5430100041223
634154331040
75401330341
oct1532242300
9520338586
10225002688
1110600a939
1263429a80
13377cc7b1
1421c500c8
1514b476e3
hexd6944c0

225002688 has 56 divisors (see below), whose sum is σ = 596920320. Its totient is φ = 74799360.

The previous prime is 225002671. The next prime is 225002699. The reversal of 225002688 is 886200522.

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, 81393 + ... + 84111.

Almost surely, 2225002688 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 225002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298460160).

225002688 is an abundant number, since it is smaller than the sum of its proper divisors (371917632).

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

225002688 is a wasteful number, since it uses less digits than its factorization.

225002688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 225002688 is about 15000.0895997324. The cubic root of 225002688 is about 608.2226216157. Note that the first 3 decimals are identical.

The spelling of 225002688 in words is "two hundred twenty-five million, two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 431 862 1293 1724 2586 2719 3448 5172 5438 6896 8157 10344 10876 13792 16314 20688 21752 27584 32628 41376 43504 65256 82752 87008 130512 174016 261024 522048 1171889 2343778 3515667 4687556 7031334 9375112 14062668 18750224 28125336 37500448 56250672 75000896 112501344 225002688