Search a number
-
+
233221034333 = 7235924552167
BaseRepresentation
bin1101100100110100001…
…1101001000101011101
3211021222120112002022102
43121031003221011131
512310114041044313
6255050144054445
722564302040340
oct3311503510535
9737876462272
10233221034333
118a9aa214a81
1239249304425
1318cb9b08c41
14b40622c457
1560eec53a58
hex364d0e915d

233221034333 has 16 divisors (see below), whose sum is σ = 282840975360. Its totient is φ = 187971382896.

The previous prime is 233221034327. The next prime is 233221034383. The reversal of 233221034333 is 333430122332.

233221034333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 233221034333 - 24 = 233221034317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233221034296 and 233221034305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233221034303) 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 15 ways as a sum of consecutive naturals, for example, 12266585 + ... + 12285582.

It is an arithmetic number, because the mean of its divisors is an integer number (17677560960).

Almost surely, 2233221034333 is an apocalyptic number.

233221034333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233221034333 is a deficient number, since it is larger than the sum of its proper divisors (49619941027).

233221034333 is a wasteful number, since it uses less digits than its factorization.

233221034333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24552256.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 233221034333 its reverse (333430122332), we get a palindrome (566651156665).

The spelling of 233221034333 in words is "two hundred thirty-three billion, two hundred twenty-one million, thirty-four thousand, three hundred thirty-three".

Divisors: 1 7 23 59 161 413 1357 9499 24552167 171865169 564699841 1448577853 3952898887 10140044971 33317290619 233221034333