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224404420 = 22517660013
BaseRepresentation
bin11010110000000…
…10001111000100
3120122020220222211
431120002033010
5424421420140
634133433204
75363256202
oct1530021704
9518226884
10224404420
111057413a9
126319b804
13376503a6
1421b36072
1514a7a2ea
hexd6023c4

224404420 has 24 divisors (see below), whose sum is σ = 498970584. Its totient is φ = 84481536.

The previous prime is 224404417. The next prime is 224404463. The reversal of 224404420 is 24404422.

It can be written as a sum of positive squares in 4 ways, for example, as 29746116 + 194658304 = 5454^2 + 13952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224404391 and 224404400.

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, 329667 + ... + 330346.

It is an arithmetic number, because the mean of its divisors is an integer number (20790441).

Almost surely, 2224404420 is an apocalyptic number.

224404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224404420 is an abundant number, since it is smaller than the sum of its proper divisors (274566164).

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

224404420 is a wasteful number, since it uses less digits than its factorization.

224404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660039 (or 660037 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 224404420 is about 14980.1341783043. The cubic root of 224404420 is about 607.6830678836.

Adding to 224404420 its reverse (24404422), we get a palindrome (248808842).

The spelling of 224404420 in words is "two hundred twenty-four million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 660013 1320026 2640052 3300065 6600130 11220221 13200260 22440442 44880884 56101105 112202210 224404420