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224005425 = 35272914713
BaseRepresentation
bin11010101101000…
…00110100110001
3120121111122200020
431112200310301
5424321133200
634121114053
75360005020
oct1526406461
9517448606
10224005425
11105499656
1263028929
13375408b7
1421a708b7
15149ebea0
hexd5a0d31

224005425 has 48 divisors (see below), whose sum is σ = 437888640. Its totient is φ = 98864640.

The previous prime is 224005409. The next prime is 224005471. The reversal of 224005425 is 524500422.

It is a happy number.

It is not a de Polignac number, because 224005425 - 24 = 224005409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224005395 and 224005404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7869 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (9122680).

Almost surely, 2224005425 is an apocalyptic number.

224005425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224005425 is a deficient number, since it is larger than the sum of its proper divisors (213883215).

224005425 is a wasteful number, since it uses less digits than its factorization.

224005425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 224005425 is about 14966.8107825281. The cubic root of 224005425 is about 607.3226971615.

Adding to 224005425 its reverse (524500422), we get a palindrome (748505847).

The spelling of 224005425 in words is "two hundred twenty-four million, five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 29 35 75 87 105 145 175 203 435 525 609 725 1015 2175 3045 5075 14713 15225 44139 73565 102991 220695 308973 367825 426677 514955 1103475 1280031 1544865 2133385 2574775 2986739 6400155 7724325 8960217 10666925 14933695 32000775 44801085 74668475 224005425