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2742233319 = 33714509171
BaseRepresentation
bin1010001101110011…
…0010100011100111
321002002222212221000
42203130302203213
521104002431234
61132035324343
7124645412220
oct24334624347
97062885830
102742233319
111187a12531
126464506b3
13349182987
141c02a8247
15110b28899
hexa37328e7

2742233319 has 16 divisors (see below), whose sum is σ = 4642935040. Its totient is φ = 1566990360.

The previous prime is 2742233317. The next prime is 2742233323. The reversal of 2742233319 is 9133322472.

It is not a de Polignac number, because 2742233319 - 21 = 2742233317 is a prime.

It is a super-2 number, since 2×27422333192 = 15039687151667511522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742233317) 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 15 ways as a sum of consecutive naturals, for example, 7254397 + ... + 7254774.

It is an arithmetic number, because the mean of its divisors is an integer number (290183440).

Almost surely, 22742233319 is an apocalyptic number.

2742233319 is a deficient number, since it is larger than the sum of its proper divisors (1900701721).

2742233319 is a wasteful number, since it uses less digits than its factorization.

2742233319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14509187 (or 14509181 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2742233319 is about 52366.3376512049. The cubic root of 2742233319 is about 1399.6994795433.

The spelling of 2742233319 in words is "two billion, seven hundred forty-two million, two hundred thirty-three thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 27 63 189 14509171 43527513 101564197 130582539 304692591 391747617 914077773 2742233319