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2297189041 = 724121672
BaseRepresentation
bin1000100011101100…
…0101001010110001
312221002120021221121
42020323011022301
514201040022131
61015540422241
7110632533100
oct21073051261
95832507847
102297189041
11a79781144
125413a7981
132a7bcc874
1417b13a037
15d6a18911
hex88ec52b1

2297189041 has 27 divisors (see below), whose sum is σ = 2755506027. Its totient is φ = 1909491360.

The previous prime is 2297189033. The next prime is 2297189071. The reversal of 2297189041 is 1409817922.

It is a happy number.

The square root of 2297189041 is 47929.

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

It can be written as a sum of positive squares in only one way, i.e., 110691441 + 2186497600 = 10521^2 + 46760^2 .

It is not a de Polignac number, because 2297189041 - 23 = 2297189033 is a prime.

It is a super-3 number, since 3×22971890413 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2297189071) 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, 13755540 + ... + 13755706.

Almost surely, 22297189041 is an apocalyptic number.

2297189041 is the 47929-th square number.

2297189041 is the 23965-th centered octagonal number.

It is an amenable number.

2297189041 is a deficient number, since it is larger than the sum of its proper divisors (458316986).

2297189041 is an frugal number, since it uses more digits than its factorization.

2297189041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The cubic root of 2297189041 is about 1319.4681514029.

The spelling of 2297189041 in words is "two billion, two hundred ninety-seven million, one hundred eighty-nine thousand, forty-one".

Divisors: 1 7 41 49 167 287 1169 1681 2009 6847 8183 11767 27889 47929 82369 195223 280727 335503 1143449 1366561 1965089 8004143 13755623 46881409 56029001 328169863 2297189041