Search a number
-
+
2243331933 = 323411077411
BaseRepresentation
bin1000010110110110…
…1000011101011101
312210100020001212220
42011231220131131
514043243110213
61010334215553
7106410002223
oct20555503535
95710201786
102243331933
11a51336537
125273545b9
132999c395b
14173d1ab13
15d1e2ae23
hex85b6875d

2243331933 has 32 divisors (see below), whose sum is σ = 3227599872. Its totient is φ = 1382409600.

The previous prime is 2243331929. The next prime is 2243331967. The reversal of 2243331933 is 3391333422.

It is not a de Polignac number, because 2243331933 - 22 = 2243331929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2243331894 and 2243331903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243331133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298998 + ... + 306408.

It is an arithmetic number, because the mean of its divisors is an integer number (100862496).

Almost surely, 22243331933 is an apocalyptic number.

2243331933 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2243331933 is a deficient number, since it is larger than the sum of its proper divisors (984267939).

2243331933 is a wasteful number, since it uses less digits than its factorization.

2243331933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585.

The product of its digits is 34992, while the sum is 33.

The square root of 2243331933 is about 47363.8251516915. The cubic root of 2243331933 is about 1309.0749511159.

The spelling of 2243331933 in words is "two billion, two hundred forty-three million, three hundred thirty-one thousand, nine hundred thirty-three".

Divisors: 1 3 23 41 69 107 123 321 943 2461 2829 4387 7383 7411 13161 22233 100901 170453 302703 303851 511359 792977 911553 2378931 6988573 18238471 20965719 32512057 54715413 97536171 747777311 2243331933