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2097365209 = 41211172
BaseRepresentation
bin111110100000011…
…0100000011011001
312102011120012011221
41331000310003121
513243411141314
6544041452041
7102655211242
oct17500640331
95364505157
102097365209
119869a9585
124a64a1021
132756a7804
1415c7a1cc9
15c41e6824
hex7d0340d9

2097365209 has 9 divisors (see below), whose sum is σ = 2151694461. Its totient is φ = 2044378080.

The previous prime is 2097365201. The next prime is 2097365227. The reversal of 2097365209 is 9025637902.

The square root of 2097365209 is 45797.

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 1727649225 + 369715984 = 41565^2 + 19228^2 .

It is not a de Polignac number, because 2097365209 - 23 = 2097365201 is a prime.

It is a super-2 number, since 2×20973652092 = 8797881639847227362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2097365201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1877119 + ... + 1878235.

Almost surely, 22097365209 is an apocalyptic number.

2097365209 is the 45797-th square number.

2097365209 is the 22899-th centered octagonal number.

It is an amenable number.

2097365209 is a deficient number, since it is larger than the sum of its proper divisors (54329252).

2097365209 is an frugal number, since it uses more digits than its factorization.

2097365209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The cubic root of 2097365209 is about 1280.0433760122.

The spelling of 2097365209 in words is "two billion, ninety-seven million, three hundred sixty-five thousand, two hundred nine".

Divisors: 1 41 1117 1681 45797 1247689 1877677 51155249 2097365209