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298202274241 = 1924127012
BaseRepresentation
bin1000101011011100011…
…11011001100111000001
31001111201020012002121121
410111232033121213001
514341204240233431
6344554153352241
730354505336354
oct4255617314701
91044636162547
10298202274241
11105515456333
1249963408681
1322174556a61
141060c49c29b
157b54954611
hex456e3d99c1

298202274241 has 27 divisors (see below), whose sum is σ = 323047411689. Its totient is φ = 275223816000.

The previous prime is 298202274221. The next prime is 298202274257. The reversal of 298202274241 is 142472202892.

The square root of 298202274241 is 546079.

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 7444065841 + 290758208400 = 86279^2 + 539220^2 .

It is not a de Polignac number, because 298202274241 - 233 = 289612339649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (298202274221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425395191 + ... + 425395891.

Almost surely, 2298202274241 is an apocalyptic number.

298202274241 is the 546079-th square number.

298202274241 is the 273040-th centered octagonal number.

It is an amenable number.

298202274241 is a deficient number, since it is larger than the sum of its proper divisors (24845137448).

298202274241 is an frugal number, since it uses more digits than its factorization.

298202274241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 298202274241 in words is "two hundred ninety-eight billion, two hundred two million, two hundred seventy-four thousand, two hundred forty-one".

Divisors: 1 19 41 361 701 779 1681 13319 14801 28741 31939 253061 491401 546079 606841 1178381 9336619 10375501 20147441 22389239 177395761 382801379 425395541 826045081 7273226201 15694856539 298202274241