Search a number
-
+
2242749327 = 371317483247
BaseRepresentation
bin1000010110101101…
…1010001110001111
312210022010110200220
42011223122032033
514043120434302
61010313522423
7106402024530
oct20553321617
95708113626
102242749327
11a50a78845
12527113413
1329984b710
14173c08687
15d1d634bc
hex85ada38f

2242749327 has 32 divisors (see below), whose sum is σ = 3896911872. Its totient is φ = 1113398784.

The previous prime is 2242749317. The next prime is 2242749329. The reversal of 2242749327 is 7239472422.

It is a happy number.

It is not a de Polignac number, because 2242749327 - 26 = 2242749263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242749329) 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, 236983 + ... + 246264.

It is an arithmetic number, because the mean of its divisors is an integer number (121778496).

Almost surely, 22242749327 is an apocalyptic number.

2242749327 is a deficient number, since it is larger than the sum of its proper divisors (1654162545).

2242749327 is a wasteful number, since it uses less digits than its factorization.

2242749327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483287.

The product of its digits is 338688, while the sum is 42.

The square root of 2242749327 is about 47357.6744255881. The cubic root of 2242749327 is about 1308.9616165794.

The spelling of 2242749327 in words is "two billion, two hundred forty-two million, seven hundred forty-nine thousand, three hundred twenty-seven".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 483247 1449741 3382729 6282211 8215199 10148187 18846633 24645597 43975477 57506393 106797587 131926431 172519179 320392761 747583109 2242749327