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223114120 = 23517328109
BaseRepresentation
bin11010100110001…
…11001110001000
3120112211101000221
431103013032020
5424104122440
634050035424
75346303325
oct1523071610
9515741027
10223114120
11104a3aa39
1262878b74
13372bacb8
14218bbb4c
15148c2d4a
hexd4c7388

223114120 has 32 divisors (see below), whose sum is σ = 531538200. Its totient is φ = 83995648.

The previous prime is 223114117. The next prime is 223114141. The reversal of 223114120 is 21411322.

It can be written as a sum of positive squares in 4 ways, for example, as 212051844 + 11062276 = 14562^2 + 3326^2 .

It is a super-3 number, since 3×2231141203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223114094 and 223114103.

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 7 ways as a sum of consecutive naturals, for example, 163375 + ... + 164734.

Almost surely, 2223114120 is an apocalyptic number.

223114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223114120 is an abundant number, since it is smaller than the sum of its proper divisors (308424080).

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

223114120 is a wasteful number, since it uses less digits than its factorization.

223114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328137 (or 328133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 223114120 is about 14937.0050545616. The cubic root of 223114120 is about 606.5161254830.

Adding to 223114120 its reverse (21411322), we get a palindrome (244525442).

The spelling of 223114120 in words is "two hundred twenty-three million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 328109 656218 1312436 1640545 2624872 3281090 5577853 6562180 11155706 13124360 22311412 27889265 44622824 55778530 111557060 223114120