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242320819 = 1328391709
BaseRepresentation
bin11100111000110…
…00010110110011
3121212222011200011
432130120112303
5444013231234
640013435351
76001456456
oct1634302663
9555864604
10242320819
11114869244
126919bb57
133b284300
142427b49d
1516418b64
hexe7185b3

242320819 has 12 divisors (see below), whose sum is σ = 262861200. Its totient is φ = 223283424.

The previous prime is 242320811. The next prime is 242320829. The reversal of 242320819 is 918023242.

It is not a de Polignac number, because 242320819 - 23 = 242320811 is a prime.

It is a super-2 number, since 2×2423208192 = 117438758641661522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242320811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140937 + ... + 142645.

It is an arithmetic number, because the mean of its divisors is an integer number (21905100).

Almost surely, 2242320819 is an apocalyptic number.

242320819 is a deficient number, since it is larger than the sum of its proper divisors (20540381).

242320819 is a wasteful number, since it uses less digits than its factorization.

242320819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 242320819 is about 15566.6572840800. The cubic root of 242320819 is about 623.4432244192.

The spelling of 242320819 in words is "two hundred forty-two million, three hundred twenty thousand, eight hundred nineteen".

Divisors: 1 13 169 839 1709 10907 22217 141791 288821 1433851 18640063 242320819