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225438384 = 2436770099
BaseRepresentation
bin11010110111111…
…10101010110000
3120201012110022210
431123332222300
5430203012014
634211532120
75405123523
oct1533765260
9521173283
10225438384
11106288216
12635ba040
1337922bc2
1421d24bba
1514bd1859
hexd6feab0

225438384 has 40 divisors (see below), whose sum is σ = 591083200. Its totient is φ = 74023488.

The previous prime is 225438361. The next prime is 225438391. The reversal of 225438384 is 483834522.

225438384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 31834 + ... + 38265.

It is an arithmetic number, because the mean of its divisors is an integer number (14777080).

Almost surely, 2225438384 is an apocalyptic number.

225438384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225438384 is an abundant number, since it is smaller than the sum of its proper divisors (365644816).

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

225438384 is a wasteful number, since it uses less digits than its factorization.

225438384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70177 (or 70171 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 225438384 is about 15014.6056891282. The cubic root of 225438384 is about 608.6149566294.

The spelling of 225438384 in words is "two hundred twenty-five million, four hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 70099 140198 210297 280396 420594 560792 841188 1121584 1682376 3364752 4696633 9393266 14089899 18786532 28179798 37573064 56359596 75146128 112719192 225438384