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293002442209 = 17418732
BaseRepresentation
bin1000100001110000100…
…11100111010111100001
31001000021211210021001001
410100320103213113201
514300032111122314
6342334203112001
730111605444251
oct4207023472741
91030254707031
10293002442209
11103297270594
1248951b12601
132182619c479
1410277a5d961
15794d1c8674
hex44384e75e1

293002442209 has 15 divisors (see below), whose sum is σ = 311481176223. Its totient is φ = 275619771648.

The previous prime is 293002442177. The next prime is 293002442219. The reversal of 293002442209 is 902244200392.

It is a happy number.

The square root of 293002442209 is 541297.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 155563192225 + 137439249984 = 394415^2 + 370728^2 .

It is not a de Polignac number, because 293002442209 - 25 = 293002442177 is a prime.

It is a super-2 number, since 2×2930024422092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293002442219) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 156433897 + ... + 156435769.

Almost surely, 2293002442209 is an apocalyptic number.

293002442209 is the 541297-th square number.

293002442209 is the 270649-th centered octagonal number.

It is an amenable number.

293002442209 is a deficient number, since it is larger than the sum of its proper divisors (18478734014).

293002442209 is an frugal number, since it uses more digits than its factorization.

293002442209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 293002442209 in words is "two hundred ninety-three billion, two million, four hundred forty-two thousand, two hundred nine".

Divisors: 1 17 289 1873 4913 31841 83521 541297 3508129 9202049 59638193 156434833 1013849281 17235437777 293002442209