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224002116 = 223213478637
BaseRepresentation
bin11010101101000…
…00000001000100
3120121111111010200
431112200001010
5424321031431
634121050500
75356662252
oct1526400104
9517444120
10224002116
11105497118
1263026a30
133753c240
1421a6d5d2
15149eaee6
hexd5a0044

224002116 has 36 divisors (see below), whose sum is σ = 609784812. Its totient is φ = 68923584.

The previous prime is 224002111. The next prime is 224002127. The reversal of 224002116 is 611200422.

It can be written as a sum of positive squares in 2 ways, for example, as 144720900 + 79281216 = 12030^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224002111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238851 + ... + 239786.

It is an arithmetic number, because the mean of its divisors is an integer number (16938467).

Almost surely, 2224002116 is an apocalyptic number.

224002116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

224002116 is an abundant number, since it is smaller than the sum of its proper divisors (385782696).

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

224002116 is a wasteful number, since it uses less digits than its factorization.

224002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478660 (or 478655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 224002116 is about 14966.7002375273. The cubic root of 224002116 is about 607.3197066972.

Adding to 224002116 its reverse (611200422), we get a palindrome (835202538).

The spelling of 224002116 in words is "two hundred twenty-four million, two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 478637 957274 1435911 1914548 2871822 4307733 5743644 6222281 8615466 12444562 17230932 18666843 24889124 37333686 56000529 74667372 112001058 224002116