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225464440 = 23538314717
BaseRepresentation
bin11010111000001…
…01000001111000
3120201020210001211
431130011001320
5430204330230
634212252504
75405262505
oct1534050170
9521223054
10225464440
111062a5853
1263611134
1337931a16
1421d304ac
1514bd942a
hexd705078

225464440 has 32 divisors (see below), whose sum is σ = 508654080. Its totient is φ = 89944192.

The previous prime is 225464419. The next prime is 225464441. The reversal of 225464440 is 44464522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225464441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7962 + ... + 22678.

It is an arithmetic number, because the mean of its divisors is an integer number (15895440).

Almost surely, 2225464440 is an apocalyptic number.

225464440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225464440 is an abundant number, since it is smaller than the sum of its proper divisors (283189640).

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

225464440 is a wasteful number, since it uses less digits than its factorization.

225464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 225464440 is about 15015.4733525121. The cubic root of 225464440 is about 608.6384034801.

The spelling of 225464440 in words is "two hundred twenty-five million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 383 766 1532 1915 3064 3830 7660 14717 15320 29434 58868 73585 117736 147170 294340 588680 5636611 11273222 22546444 28183055 45092888 56366110 112732220 225464440