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19022202241 = 72172192612
BaseRepresentation
bin10001101101110011…
…111100010110000001
31211002200121222212221
4101231303330112001
5302424140432431
612423315451041
71242250023400
oct215563742601
954080558787
1019022202241
1180815a00a9
12382a5b6a81
131a41c42393
14cc64b7637
15764ec3111
hex46dcfc581

19022202241 has 81 divisors (see below), whose sum is σ = 25221711177. Its totient is φ = 14299649280.

The previous prime is 19022202179. The next prime is 19022202313. The reversal of 19022202241 is 14220222091.

The square root of 19022202241 is 137921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1755191025 + 17267011216 = 41895^2 + 131404^2 .

It is not a de Polignac number, because 19022202241 - 29 = 19022201729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19022202341) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 311839351 + ... + 311839411.

Almost surely, 219022202241 is an apocalyptic number.

19022202241 is the 137921-st square number.

19022202241 is the 68961-st centered octagonal number.

It is an amenable number.

19022202241 is a deficient number, since it is larger than the sum of its proper divisors (6199508936).

19022202241 is an equidigital number, since it uses as much as digits as its factorization.

19022202241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 19022202241 by its sum of digits (25), we get a square (475555056025 = 6896052).

The spelling of 19022202241 in words is "nineteen billion, twenty-two million, two hundred two thousand, two hundred forty-one".

Divisors: 1 7 17 19 49 61 119 133 289 323 361 427 833 931 1037 1159 2023 2261 2527 2989 3721 5491 6137 7259 8113 14161 15827 17629 17689 19703 22021 26047 38437 42959 50813 56791 63257 70699 104329 123403 137921 154147 182329 269059 300713 334951 374357 442799 494893 730303 863821 965447 1075369 1079029 1201883 1343281 2344657 2620499 3099593 3464251 5112121 6364069 7527583 8413181 9402967 16412599 18343493 20432011 22835777 44548483 52693081 58892267 65820769 143024077 159850439 311839381 388208209 1001168539 1118953073 2717457463 19022202241