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220133333 = 7210334349
BaseRepresentation
bin11010001111011…
…11011111010101
3120100012221011102
431013233133111
5422323231313
633502115445
75312050100
oct1507573725
9510187142
10220133333
11103294482
126187bb85
13367b6314
1421343737
15144d4a58
hexd1ef7d5

220133333 has 12 divisors (see below), whose sum is σ = 256380300. Its totient is φ = 188459712.

The previous prime is 220133279. The next prime is 220133369. The reversal of 220133333 is 333331022.

It can be written as a sum of positive squares in 2 ways, for example, as 106028209 + 114105124 = 10297^2 + 10682^2 .

It is not a de Polignac number, because 220133333 - 26 = 220133269 is a prime.

It is a Duffinian number.

220133333 is a modest number, since divided by 33333 gives 2201 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220133393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48443 + ... + 52791.

It is an arithmetic number, because the mean of its divisors is an integer number (21365025).

Almost surely, 2220133333 is an apocalyptic number.

It is an amenable number.

220133333 is a deficient number, since it is larger than the sum of its proper divisors (36246967).

220133333 is a wasteful number, since it uses less digits than its factorization.

220133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 220133333 is about 14836.8909479041. The cubic root of 220133333 is about 603.8030045182.

Adding to 220133333 its reverse (333331022), we get a palindrome (553464355).

The spelling of 220133333 in words is "two hundred twenty million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 49 1033 4349 7231 30443 50617 213101 4492517 31447619 220133333